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" Equal parallelograms which have one angle of the one equal to one angle of the other, have their sides about the equal angles reciprocally proportional ; and parallelograms that have one angle of the one equal to one angle of the other, and their sides... "
Euclid's Elements: Or, Second Lessons in Geometry,in the Order of Simson's ... - Σελίδα 94
των Dennis M'Curdy - 1846 - 138 σελίδες
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Elements of Geometry, Briefly, Yet Plainly Demonstrated by Edmund Stone

Euclid - 1728
...i.5. 145 PROP. XV. Equal Wangles ABC, DBE, hailing one Angle ABC of the one equal to one Angle DBE of the other, have their Sides about the equal Angles reciprocally proportional., vix,. AB: BE:: DB : BC- and»ihoje Triangles ABC, DBE that have one Angle ABC equal te one Angle DBE,...

Elements of Geometry: Containing the First Six Books of Euclid, with a ...

John Playfair - 1806 - 311 σελίδες
...Which was to be done. PROP. XIV. THEOR. EQUAL parallelograms, which have one angle of one equal to one angle of the other, have their sides about the equal angles reciprocally proportional ; and parallelograms which have one angle of one equal to one angle of the other, and their sides about the...

The Elements of Euclid: The Errors, by which Theon, Or Others, Have Long Ago ...

Robert Simson - 1806 - 518 σελίδες
...be done. Book VI PROP. XIV. THEOR. EQUAL parallelograms which have one angle of the one equal to one angle of the other, have their sides about the equal angles reciprocally proportional : and parallelograms that have one angle of the ono» equal to one angle of the other, and their sides about...

Pantologia. A new (cabinet) cyclopædia, by J.M. Good, O. Gregory ..., Τόμος 5

John Mason Good - 1813
...straight lines. Prop. XIV. Theor. Equal parallelograms which have one angle of the one equal to one angle of the other, have their sides about the equal angles reciprocally proport ional : and parallelograms that have one angle of the one equal to one angle of the other,...

The Elements of Euclid: Viz. the First Six Books, Together with the Eleventh ...

Euclides - 1816 - 528 σελίδες
...ELEMEtftS Booif Vl. PROP. XIV. TttEOR. EQUAL parallelograms, which have one angle of the one equal to one angle of the other, have their sides about the equal angles reciprocally proportional: And parallelograms that have one angle of the one equal to one angle of the other, and their sides about...

Elements of Geometry: Containing the First Six Books of Euclid: With a ...

John Playfair - 1819 - 317 σελίδες
...was to be done. PROP. XIV. THEOR. Equal parallelograms which have one angle of the one equal to one angle of the other, have their sides about the equal angles reciprocally proportional : And parallelograms which hare one angle of the one equal to one angle of the other, and their sides about...

Elements of Geometry: Containing the First Six Books of Euclid, with a ...

John Playfair - 1819 - 333 σελίδες
...&c. Q,. ED PROP. XV. THE'OR. Equal triangles which have one angle of the one equal to one angle ofthi other, have their sides about the equal angles reciprocally proportional : And triangles which have one angle in ihe one equal to one angle in ihe other, and their sides about the equal angles...

Euclid's Elements of Geometry: The Six First Books. To which are Added ...

Euclid, Rev. John Allen - 1822 - 494 σελίδες
...of AB to BK or HG, and of PB to BL or HE. Cor. 1. — By a similar reasoning it may be proved, that triangles, which have an angle of one, equal to an angle of the other, are to each other, in a ratio, compounded of the ratios, of the sides including the equal angles. Cor....

A Popular Course of Pure and Mixed Mathematics ...: With Tables of ...

Peter Nicholson - 1825 - 372 σελίδες
...ELEMBNTI or EUCLID. PROP. XIV. THEOR. parallelograms, which have ont angle of the one equal to one angle of the other, have their sides about the equal angles reciprocally proportional. And parallelograms that have one angle of the ene equal to one angle of the other, and their tides about...

Elements of Arithmetic, Algebra, and Geometry

George Lees - 1826
...• * ' Equivalent triangles ABC, ADE, which have one angle BAG of the one, equal to one angle DAE of the other, have their sides about the equal angles reciprocally proportional ; and triangles which have one angle of the one equal to- one angle of the other, and their sides about the equal angles...




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