Definition of Proportio. Meaning of Proportio. Synonyms of Proportio

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Definition of Proportio

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Arithmetical proportion
Arithmetical Ar`ith*met"ic*al, a. Of or pertaining to arithmetic; according to the rules or method of arithmetic. Arithmetical complement of a logarithm. See Logarithm. Arithmetical mean. See Mean. Arithmetical progression. See Progression. Arithmetical proportion. See Proportion.
Composition of proportion
Composition Com`po*si"tion, n. [F. composition, fr. L. compositio. See Composite.] 1. The act or art of composing, or forming a whole or integral, by placing together and uniting different things, parts, or ingredients. In specific uses: (a) The invention or combination of the parts of any literary work or discourse, or of a work of art; as, the composition of a poem or a piece of music. ``The constant habit of elaborate composition.' --Macaulay. (b) (Fine Arts) The art or practice of so combining the different parts of a work of art as to produce a harmonious whole; also, a work of art considered as such. See 4, below. (c) The act of writing for practice in a language, as English, Latin, German, etc. (d) (Print.) The setting up of type and arranging it for printing. 2. The state of being put together or composed; conjunction; combination; adjustment. View them in composition with other things. --I. Watts. The elementary composition of bodies. --Whewell. 3. A mass or body formed by combining two or more substances; as, a chemical composition. A composition that looks . . . like marble. --Addison. 4. A literary, musical, or artistic production, especially one showing study and care in arrangement; -- often used of an elementary essay or translation done as an educational exercise. 5. Consistency; accord; congruity. [Obs.] There is no composition in these news That gives them credit. --Shak. 6. Mutual agreement to terms or conditions for the settlement of a difference or controversy; also, the terms or conditions of settlement; agreement. Thus we are agreed: I crave our composition may be written. --Shak. 7. (Law) The adjustment of a debt, or avoidance of an obligation, by some form of compensation agreed on between the parties; also, the sum or amount of compensation agreed upon in the adjustment. Compositions for not taking the order of knighthood. --Hallam. Cleared by composition with their creditors. --Blackstone. 8. Synthesis as opposed to analysis. The investigation of difficult things by the method of analysis ought ever to precede the method of composition. --Sir I. Newton. Composition cloth, a kind of cloth covered with a preparation making it waterproof. Composition deed, an agreement for composition between a debtor and several creditors. Composition plane (Crystallog.), the plane by which the two individuals of a twin crystal are united in their reserved positions. Composition of forces (Mech.), the finding of a single force (called the resultant) which shall be equal in effect to two or more given forces (called the components) when acting in given directions. --Herbert. Composition metal, an alloy resembling brass, which is sometimes used instead of copper for sheathing vessels; -- also called Muntz metal and yellow metal. Composition of proportion (Math.), an arrangement of four proportionals so that the sum of the first and second is to the second as the sum of the third and fourth to the fourth.
Continual proportionals
Continual Con*tin"u*al, a. [OE. continuel, F. continuel. See Continue.] 1. Proceeding without interruption or cesstaion; continuous; unceasing; lasting; abiding. He that is of a merry heart hath a continual feast. --Prov. xv. 15. 2. Occuring in steady and rapid succession; very frequent; often repeated. The eye is deligh by a continental succession of small landscapes. --W. Irwing. Continual proportionals (Math.), quantities in continued proportion. --Brande & C. Syn: Constant; prepetual; incessant; unceasing; uninterrupted; unintermitted; continuous. See Constant, and Continuous.
Continued proportion
Proportion Pro*por"tion, n. [F., fr. L. proportio; pro before + portio part or share. See Portion.] 1. The relation or adaptation of one portion to another, or to the whole, as respect magnitude, quantity, or degree; comparative relation; ratio; as, the proportion of the parts of a building, or of the body. The image of Christ, made after his own proportion. --Ridley. Formed in the best proportions of her sex. --Sir W. Scott. Documents are authentic and facts are true precisely in proportion to the support which they afford to his theory. --Macaulay. 2. Harmonic relation between parts, or between different things of the same kind; symmetrical arrangement or adjustment; symmetry; as, to be out of proportion. ``Let us prophesy according to the proportion of faith.' --Rom. xii. 6. 3. The portion one receives when a whole is distributed by a rule or principle; equal or proper share; lot. Let the women . . . do the same things in their proportions and capacities. --Jer. Taylor. 4. A part considered comparatively; a share. 5. (Math.) (a) The equality or similarity of ratios, especially of geometrical ratios; or a relation among quantities such that the quotient of the first divided by the second is equal to that of the third divided by the fourth; -- called also geometrical proportion, in distinction from arithmetical proportion, or that in which the difference of the first and second is equal to the difference of the third and fourth. Note: Proportion in the mathematical sense differs from ratio. Ratio is the relation of two quantities of the same kind, as the ratio of 5 to 10, or the ratio of 8 to 16. Proportion is the sameness or likeness of two such relations. Thus, 5 to 10 as 8 to 16; that is, 5 bears the same relation to 10 as 8 does to 16. Hence, such numbers are said to be in proportion. Proportion is expressed by symbols thus: a:b::c:d, or a:b = c:d, or a/b = c/d. (b) The rule of three, in arithmetic, in which the three given terms, together with the one sought, are proportional. Continued proportion, Inverse proportion, etc. See under Continued, Inverse, etc. Harmonical, or Musical, proportion, a relation of three or four quantities, such that the first is to the last as the difference between the first two is to the difference between the last two; thus, 2, 3, 6, are in harmonical proportion; for 2 is to 6 as 1 to 3. Thus, 24, 16, 12, 9, are harmonical, for 24:9::8:3. In proportion, according as; to the degree that. ``In proportion as they are metaphysically true, they are morally and politically false.' --Burke.
Continued proportion
Continued Con*tin"ued, p. p. & a. Having extension of time, space, order of events, exertion of energy, etc.; extended; protracted; uninterrupted; also, resumed after interruption; extending through a succession of issues, session, etc.; as, a continued story. ``Continued woe.' --Jenyns. ``Continued succession.' --Locke. Continued bass (Mus.), a bass continued through an entire piece of music, while the other parts of the harmony are indicated by figures beneath the bass; the same as thorough bass or figured bass; basso continuo. [It.] Continued fever (Med.), a fever which presents no interruption in its course. Continued fraction (Math.), a fraction whose numerator is 1, and whose denominator is a whole number plus a fraction whose numerator is 1 and whose denominator is a whole number, plus a fraction, and so on. Continued proportion (Math.), a proportion composed of two or more equal ratios, in which the consequent of each preceding ratio is the same with the antecedent of the following one; as, 4 : 8 : 8 : 16 :: 16 : 32.
Discrete proportion
Discrete Dis*crete", a. [L. discretus, p. p. of discernere. See Discreet.] 1. Separate; distinct; disjunct. --Sir M. Hale. 2. Disjunctive; containing a disjunctive or discretive clause; as, ``I resign my life, but not my honor,' is a discrete proposition. 3. (Bot.) Separate; not coalescent; -- said of things usually coalescent. Discrete movement. See Concrete movement of the voice, under Concrete, a. Discrete proportion, proportion where the ratio of the means is different from that of either couplet; as, 3:6::8:16, 3 bearing the same proportion to 6 as 8 does to 16. But 3 is not to 6 as 6 to 8. It is thus opposed to continued or continual proportion; as, 3:6::12:24. Discrete quantity, that which must be divided into units, as number, and is opposed to continued quantity, as duration, or extension.
Disproportion
Disproportion Dis`pro*por"tion, n. [Pref. dis- + proportion: cf. F. disproportion.] 1. Want of proportion in form or quantity; lack of symmetry; as, the arm may be in disproportion to the body; the disproportion of the length of a building to its height. 2. Want of suitableness, adequacy, or due proportion to an end or use; unsuitableness; disparity; as, the disproportion of strength or means to an object.
Disproportion
Disproportion Dis`pro*por"tion, v. t. [imp. & p. p. Disproportioned; p. pr. & vb. n. Disproportioning.] To make unsuitable in quantity, form, or fitness to an end; to violate symmetry in; to mismatch; to join unfitly. To shape my legs of an unequal size; To disproportion me in every part. --Shak. A degree of strength altogether disproportioned to the extent of its territory. --Prescott.
Disproportionable
Disproportionable Dis`pro*por"tion*a*ble, a. Disproportional; unsuitable in form, size, quantity, or adaptation; disproportionate; inadequate. -- Dis`pro*por"tion*a*ble*ness, n. --Hammond. -- Dis`pro*por"tion*a*bly, adv.
Disproportionableness
Disproportionable Dis`pro*por"tion*a*ble, a. Disproportional; unsuitable in form, size, quantity, or adaptation; disproportionate; inadequate. -- Dis`pro*por"tion*a*ble*ness, n. --Hammond. -- Dis`pro*por"tion*a*bly, adv.
Disproportionably
Disproportionable Dis`pro*por"tion*a*ble, a. Disproportional; unsuitable in form, size, quantity, or adaptation; disproportionate; inadequate. -- Dis`pro*por"tion*a*ble*ness, n. --Hammond. -- Dis`pro*por"tion*a*bly, adv.
Disproportional
Disproportional Dis`pro*por"tion*al, a. Not having due proportion to something else; not having proportion or symmetry of parts; unsuitable in form, quantity or value; inadequate; unequal; as, a disproportional limb constitutes deformity in the body; the studies of youth should not be disproportional to their understanding.
Disproportionality
Disproportionality Dis`pro*por`tion*al"i*ty, n. The state of being disproportional. --Dr. H. More.
Disproportionally
Disproportionally Dis`pro*por"tion*al*ly, adv. In a disproportional manner; unsuitably in form, quantity, or value; unequally.
Disproportionate
Disproportionate Dis`pro*por"tion*ate, a. Not proportioned; unsymmetrical; unsuitable to something else in bulk, form, value, or extent; out of proportion; inadequate; as, in a perfect body none of the limbs are disproportionate; it is wisdom not to undertake a work disproportionate means. -- Dis`pro*por"tion*ate*ly, adv. -- Dis`pro*por"tion*ate*ness, n.
Disproportionately
Disproportionate Dis`pro*por"tion*ate, a. Not proportioned; unsymmetrical; unsuitable to something else in bulk, form, value, or extent; out of proportion; inadequate; as, in a perfect body none of the limbs are disproportionate; it is wisdom not to undertake a work disproportionate means. -- Dis`pro*por"tion*ate*ly, adv. -- Dis`pro*por"tion*ate*ness, n.
Disproportionateness
Disproportionate Dis`pro*por"tion*ate, a. Not proportioned; unsymmetrical; unsuitable to something else in bulk, form, value, or extent; out of proportion; inadequate; as, in a perfect body none of the limbs are disproportionate; it is wisdom not to undertake a work disproportionate means. -- Dis`pro*por"tion*ate*ly, adv. -- Dis`pro*por"tion*ate*ness, n.
Disproportioned
Disproportion Dis`pro*por"tion, v. t. [imp. & p. p. Disproportioned; p. pr. & vb. n. Disproportioning.] To make unsuitable in quantity, form, or fitness to an end; to violate symmetry in; to mismatch; to join unfitly. To shape my legs of an unequal size; To disproportion me in every part. --Shak. A degree of strength altogether disproportioned to the extent of its territory. --Prescott.
Disproportioning
Disproportion Dis`pro*por"tion, v. t. [imp. & p. p. Disproportioned; p. pr. & vb. n. Disproportioning.] To make unsuitable in quantity, form, or fitness to an end; to violate symmetry in; to mismatch; to join unfitly. To shape my legs of an unequal size; To disproportion me in every part. --Shak. A degree of strength altogether disproportioned to the extent of its territory. --Prescott.
Distributive proportion
Distributive Dis*trib"u*tive, a. [Cf. F. distributif.] 1. Tending to distribute; serving to divide and assign in portions; dealing to each his proper share. ``Distributive justice.' --Swift. 2. (Logic) Assigning the species of a general term. 3. (Gram.) Expressing separation; denoting a taking singly, not collectively; as, a distributive adjective or pronoun, such as each, either, every; a distributive numeral, as (Latin) bini (two by two). Distributive operation (Math.), any operation which either consists of two or more parts, or works upon two or more things, and which is such that the result of the total operation is the same as the aggregated result of the two or more partial operations. Ordinary multiplication is distributive, since a [times] (b + c) = ab + ac, and (a + b) [times] c = ac + bc. Distributive proportion. (Math.) See Fellowship.
Doctrine of definite proportions
Atomic A*tom"ic, Atomical A*tom"ic*al, a. [Cf. F. atomique.] 1. Of or pertaining to atoms. 2. Extremely minute; tiny. Atomic philosophy, or Doctrine of atoms, a system which, assuming that atoms are endued with gravity and motion, accounted thus for the origin and formation of all things. This philosophy was first broached by Leucippus, was developed by Democritus, and afterward improved by Epicurus, and hence is sometimes denominated the Epicurean philosophy. Atomic theory, or the Doctrine of definite proportions (Chem.), teaches that chemical combinations take place between the supposed ultimate particles or atoms of bodies, in some simple ratio, as of one to one, two to three, or some other, always expressible in whole numbers. Atomic weight (Chem.), the weight of the atom of an element as compared with the weight of the atom of hydrogen, taken as a standard.
Duplicate proportion
Duplicate Du"pli*cate, a. [L. duplicatus, p. p. of duplicare to double, fr. duplex double, twofold. See Duplex.] Double; twofold. Duplicate proportion or ratio (Math.), the proportion or ratio of squares. Thus, in geometrical proportion, the first term to the third is said to be in a duplicate ratio of the first to the second, or as its square is to the square of the second. Thus, in 2, 4, 8, 16, the ratio of 2 to 8 is a duplicate of that of 2 to 4, or as the square of 2 is to the square of 4.
geometrical proportion
Proportion Pro*por"tion, n. [F., fr. L. proportio; pro before + portio part or share. See Portion.] 1. The relation or adaptation of one portion to another, or to the whole, as respect magnitude, quantity, or degree; comparative relation; ratio; as, the proportion of the parts of a building, or of the body. The image of Christ, made after his own proportion. --Ridley. Formed in the best proportions of her sex. --Sir W. Scott. Documents are authentic and facts are true precisely in proportion to the support which they afford to his theory. --Macaulay. 2. Harmonic relation between parts, or between different things of the same kind; symmetrical arrangement or adjustment; symmetry; as, to be out of proportion. ``Let us prophesy according to the proportion of faith.' --Rom. xii. 6. 3. The portion one receives when a whole is distributed by a rule or principle; equal or proper share; lot. Let the women . . . do the same things in their proportions and capacities. --Jer. Taylor. 4. A part considered comparatively; a share. 5. (Math.) (a) The equality or similarity of ratios, especially of geometrical ratios; or a relation among quantities such that the quotient of the first divided by the second is equal to that of the third divided by the fourth; -- called also geometrical proportion, in distinction from arithmetical proportion, or that in which the difference of the first and second is equal to the difference of the third and fourth. Note: Proportion in the mathematical sense differs from ratio. Ratio is the relation of two quantities of the same kind, as the ratio of 5 to 10, or the ratio of 8 to 16. Proportion is the sameness or likeness of two such relations. Thus, 5 to 10 as 8 to 16; that is, 5 bears the same relation to 10 as 8 does to 16. Hence, such numbers are said to be in proportion. Proportion is expressed by symbols thus: a:b::c:d, or a:b = c:d, or a/b = c/d. (b) The rule of three, in arithmetic, in which the three given terms, together with the one sought, are proportional. Continued proportion, Inverse proportion, etc. See under Continued, Inverse, etc. Harmonical, or Musical, proportion, a relation of three or four quantities, such that the first is to the last as the difference between the first two is to the difference between the last two; thus, 2, 3, 6, are in harmonical proportion; for 2 is to 6 as 1 to 3. Thus, 24, 16, 12, 9, are harmonical, for 24:9::8:3. In proportion, according as; to the degree that. ``In proportion as they are metaphysically true, they are morally and politically false.' --Burke.
Improportionable
Improportionable Im`pro*por"tion*a*ble, a. Not proportionable. [Obs.] --B. Jonson.
Improportionate
Improportionate Im`pro*por"tion*ate, a. Not proportionate. [Obs.]
In proportion
Proportion Pro*por"tion, n. [F., fr. L. proportio; pro before + portio part or share. See Portion.] 1. The relation or adaptation of one portion to another, or to the whole, as respect magnitude, quantity, or degree; comparative relation; ratio; as, the proportion of the parts of a building, or of the body. The image of Christ, made after his own proportion. --Ridley. Formed in the best proportions of her sex. --Sir W. Scott. Documents are authentic and facts are true precisely in proportion to the support which they afford to his theory. --Macaulay. 2. Harmonic relation between parts, or between different things of the same kind; symmetrical arrangement or adjustment; symmetry; as, to be out of proportion. ``Let us prophesy according to the proportion of faith.' --Rom. xii. 6. 3. The portion one receives when a whole is distributed by a rule or principle; equal or proper share; lot. Let the women . . . do the same things in their proportions and capacities. --Jer. Taylor. 4. A part considered comparatively; a share. 5. (Math.) (a) The equality or similarity of ratios, especially of geometrical ratios; or a relation among quantities such that the quotient of the first divided by the second is equal to that of the third divided by the fourth; -- called also geometrical proportion, in distinction from arithmetical proportion, or that in which the difference of the first and second is equal to the difference of the third and fourth. Note: Proportion in the mathematical sense differs from ratio. Ratio is the relation of two quantities of the same kind, as the ratio of 5 to 10, or the ratio of 8 to 16. Proportion is the sameness or likeness of two such relations. Thus, 5 to 10 as 8 to 16; that is, 5 bears the same relation to 10 as 8 does to 16. Hence, such numbers are said to be in proportion. Proportion is expressed by symbols thus: a:b::c:d, or a:b = c:d, or a/b = c/d. (b) The rule of three, in arithmetic, in which the three given terms, together with the one sought, are proportional. Continued proportion, Inverse proportion, etc. See under Continued, Inverse, etc. Harmonical, or Musical, proportion, a relation of three or four quantities, such that the first is to the last as the difference between the first two is to the difference between the last two; thus, 2, 3, 6, are in harmonical proportion; for 2 is to 6 as 1 to 3. Thus, 24, 16, 12, 9, are harmonical, for 24:9::8:3. In proportion, according as; to the degree that. ``In proportion as they are metaphysically true, they are morally and politically false.' --Burke.
Inverse proportion
Proportion Pro*por"tion, n. [F., fr. L. proportio; pro before + portio part or share. See Portion.] 1. The relation or adaptation of one portion to another, or to the whole, as respect magnitude, quantity, or degree; comparative relation; ratio; as, the proportion of the parts of a building, or of the body. The image of Christ, made after his own proportion. --Ridley. Formed in the best proportions of her sex. --Sir W. Scott. Documents are authentic and facts are true precisely in proportion to the support which they afford to his theory. --Macaulay. 2. Harmonic relation between parts, or between different things of the same kind; symmetrical arrangement or adjustment; symmetry; as, to be out of proportion. ``Let us prophesy according to the proportion of faith.' --Rom. xii. 6. 3. The portion one receives when a whole is distributed by a rule or principle; equal or proper share; lot. Let the women . . . do the same things in their proportions and capacities. --Jer. Taylor. 4. A part considered comparatively; a share. 5. (Math.) (a) The equality or similarity of ratios, especially of geometrical ratios; or a relation among quantities such that the quotient of the first divided by the second is equal to that of the third divided by the fourth; -- called also geometrical proportion, in distinction from arithmetical proportion, or that in which the difference of the first and second is equal to the difference of the third and fourth. Note: Proportion in the mathematical sense differs from ratio. Ratio is the relation of two quantities of the same kind, as the ratio of 5 to 10, or the ratio of 8 to 16. Proportion is the sameness or likeness of two such relations. Thus, 5 to 10 as 8 to 16; that is, 5 bears the same relation to 10 as 8 does to 16. Hence, such numbers are said to be in proportion. Proportion is expressed by symbols thus: a:b::c:d, or a:b = c:d, or a/b = c/d. (b) The rule of three, in arithmetic, in which the three given terms, together with the one sought, are proportional. Continued proportion, Inverse proportion, etc. See under Continued, Inverse, etc. Harmonical, or Musical, proportion, a relation of three or four quantities, such that the first is to the last as the difference between the first two is to the difference between the last two; thus, 2, 3, 6, are in harmonical proportion; for 2 is to 6 as 1 to 3. Thus, 24, 16, 12, 9, are harmonical, for 24:9::8:3. In proportion, according as; to the degree that. ``In proportion as they are metaphysically true, they are morally and politically false.' --Burke.
Inversely proportional
Inversely In*verse"ly, adv. In an inverse order or manner; by inversion; -- opposed to directly. Inversely proportional. See Directly proportional, under Directly, and Inversion, 4.
Law of multiple proportion
Multiple Mul"ti*ple, a. [Cf. F. multiple, and E. quadruple, and multiply.] Containing more than once, or more than one; consisting of more than one; manifold; repeated many times; having several, or many, parts. Law of multiple proportion (Chem.), the generalization that when the same elements unite in more than one proportion, forming two or more different compounds, the higher proportions of the elements in such compounds are simple multiplies of the lowest proportion, or the proportions are connected by some simple common factor; thus, iron and oxygen unite in the proportions FeO, Fe2O3, Fe3O4, in which compounds, considering the oxygen, 3 and 4 are simple multiplies of 1. Called also the Law of Dalton, from its discoverer. Multiple algebra, a branch of advanced mathematics that treats of operations upon units compounded of two or more unlike units. Multiple conjugation (Biol.), a coalescence of many cells (as where an indefinite number of am[oe]boid cells flow together into a single mass) from which conjugation proper and even fertilization may have been evolved. Multiple fruits. (Bot.) See Collective fruit, under Collective. Multiple star (Astron.), several stars in close proximity, which appear to form a single system.
Mean proportional
Mean Mean, a. [OE. mene, OF. meiien, F. moyen, fr. L. medianus that is in the middle, fr. medius; akin to E. mid. See Mid.] 1. Occupying a middle position; middle; being about midway between extremes. Being of middle age and a mean stature. --Sir. P. Sidney. 2. Intermediate in excellence of any kind. According to the fittest style of lofty, mean, or lowly. --Milton. 3. (Math.) Average; having an intermediate value between two extremes, or between the several successive values of a variable quantity during one cycle of variation; as, mean distance; mean motion; mean solar day. Mean distance (of a planet from the sun) (Astron.), the average of the distances throughout one revolution of the planet, equivalent to the semi-major axis of the orbit. Mean error (Math. Phys.), the average error of a number of observations found by taking the mean value of the positive and negative errors without regard to sign. Mean-square error, or Error of the mean square (Math. Phys.), the error the square of which is the mean of the squares of all the errors; -- called also, especially by European writers, mean error. Mean line. (Crystallog.) Same as Bisectrix. Mean noon, noon as determined by mean time. Mean proportional (between two numbers) (Math.), the square root of their product. Mean sun, a fictitious sun supposed to move uniformly in the equator so as to be on the meridian each day at mean noon. Mean time, time as measured by an equable motion, as of a perfect clock, or as reckoned on the supposition that all the days of the year are of a mean or uniform length, in contradistinction from apparent time, or that actually indicated by the sun, and from sidereal time, or that measured by the stars.

Meaning of Proportio from wikipedia

- derives from the system of mensural or proportional notation (also called proportio dupla) in which note values (and their graphical shapes) were related...
- mensural notation of the Renaissance, it was an alternative term for proportio dupla, which meant that the brevis was to be considered the unit of time...
- From the bottom of p. 189: "Sed res est certissima extactissimaque quod proportio qua est inter binorum quorumcunque Planetarum tempora periodica, sit præcise...
- fast); tempus perfectum diminutum, 1:2 proportion (twice as fast); or proportio tripla, 1:3 proportion (three times as fast, similar to triplets). In...
- From the bottom of p. 189: "Sed res est certissima exactissimaque quod proportio qua est inter binorum quorumcunque Planetarum tempora periodica, sit præcise...
- more akin to com****tion or reckoning. Medieval writers used the word proportio ("proportion") to indicate ratio and proportionalitas ("proportionality")...
- mathematics at the University of Padua. In his main work, Curvi ac recti proportio, Sovero proves to be a precursor of the geometry of indivisibles and of...
- dies 1. h. 18 1/2, dies 3 h. 13 1/3, dies 7 h. 3, dies 16 h. 18: ubique proportio est major quam dupla, major igitur quam intervallorum 3, 5, 8, 13 vel...
- mathematical sense, and it was indeed sometimes translated to Latin as proportio.[citation needed] Analogy was understood as identity of relation between...
- (1496).[clarification needed] Juan de Anchieta uses 5 1 (tempus perfectum, proportio quintupla), in both "Con amores, mi madre" (1465), and "Dos ánades, madre"...