英语词汇“equal in power”的英英意思、用法、释义、翻译、读音、例句、短语、词组-英语词典

†b. Geometry. in power [originally translating ancient Greek δυνάμει (Euclid)] : with regard to the squares of magnitudes of lines being compared, as distinguished from the magnitudes themselves. commensurable (also incommensurable) in power: (of two magnitudes) having commensurable (or incommensurable) squares. equal in power (also of equal power): (of a magnitude) having a square equal to the sum of the squares of two or more other magnitudes. Obsolete.

ΘΚΠ

the world > relative properties > number > mathematical number or quantity > [adverb] > in relation to squares of magnitudes

in power1570

1570 H. Billingsley tr. Euclid Elements Geom. x. f. 229 Right lines commensurable in power are such, whose squares one and the selfe same..area..doth measure.

1655 T. Stanley Hist. Philos. I. i. 17 Pythagoras sacrificed a Hecatomb, having found out, that the hypotenuse of a right angled triangle, is of equall power to the two sides, including the right angle.

1660 tr. I. Barrow Euclide's Elements x. 194 Right lines are commensurable in power, when the same space does measure their squares.

1669 S. Sturmy Mariners Mag. i. ii. 40 How to finde two Lines, which together shall be equal in Power to any Line given.

1702 V. Mandey tr. J. J. Hainlin Synopsis Mathematica: Astron. ii. v. 352 A Rectangled Parallelogram D O R E... The Diagonal of this Parallelogram D E is equal in power to the Sides D O and O E, or D R and R E.

1788 J. Williamson tr. Euclid Elements II. x. 83 The straight lines commensurable in length are always so in power, but..those commensurable in power are not always so in length.

单词	equal in power
释义	> as lemmas equal in power †b. Geometry. in power [originally translating ancient Greek δυνάμει (Euclid)] : with regard to the squares of magnitudes of lines being compared, as distinguished from the magnitudes themselves. commensurable (also incommensurable) in power: (of two magnitudes) having commensurable (or incommensurable) squares. equal in power (also of equal power): (of a magnitude) having a square equal to the sum of the squares of two or more other magnitudes. Obsolete. ΘΚΠ the world > relative properties > number > mathematical number or quantity > [adverb] > in relation to squares of magnitudes in power1570 1570 H. Billingsley tr. Euclid Elements Geom. x. f. 229 Right lines commensurable in power are such, whose squares one and the selfe same..area..doth measure. 1655 T. Stanley Hist. Philos. I. i. 17 Pythagoras sacrificed a Hecatomb, having found out, that the hypotenuse of a right angled triangle, is of equall power to the two sides, including the right angle. 1660 tr. I. Barrow Euclide's Elements x. 194 Right lines are commensurable in power, when the same space does measure their squares. 1669 S. Sturmy Mariners Mag. i. ii. 40 How to finde two Lines, which together shall be equal in Power to any Line given. 1702 V. Mandey tr. J. J. Hainlin Synopsis Mathematica: Astron. ii. v. 352 A Rectangled Parallelogram D O R E... The Diagonal of this Parallelogram D E is equal in power to the Sides D O and O E, or D R and R E. 1788 J. Williamson tr. Euclid Elements II. x. 83 The straight lines commensurable in length are always so in power, but..those commensurable in power are not always so in length. extracted from powern.¹ < as lemmas
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> as lemmas