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" BC common to the two triangles, which is adjacent to their equal angles ; therefore their other sides shall be equal, each to each, and the third angle of the one to the third angle of the other, (26. "
A Treatise on Spherics: Comprising the Elements of Spherical Geometry, and ... - Pagina 53
door Daniel Cresswell - 1816 - 294 pagina’s
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Chambers's information for the people, ed. by W. and R. Chambers, Volume 2

Chambers W. and R., ltd - 1842 - 744 pagina’s
...sides opposite to the equal angles in each, then shall the other sides be equal, each to each, and also the third angle of the one to the third angle of the other ; or, if two angles and a side in one triangle be respectively equal to two angles and a corresponding...
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Euclid in Paragraphs: The Elements of Euclid: Containing the First Six Books ...

Euclid - 1845 - 218 pagina’s
...side BC common to the two triangles, which is adjacent to their equal angles ; therefore their other sides shall be equal, each to each, and the third angle of the one to the third angle of t 26. i. the other J, viz. the side AB to the side CD, and AC to BD, and the angle BAC equal to the...
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Euclid's Elements of geometry [book 1-6, 11,12] with explanatory notes ...

Euclides - 1845 - 546 pagina’s
...which is adjacent to their equal angles, common to the two triangles ; therefore their other sides are equal, each to each, and the third angle of the one to the third angle of the other, (i. 26.) namely, the side AB to the side CD, and AC to BD, and the angle BAC to the angle BDC. And...
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The Elements of Euclid, the parts read in the University of Cambridge [book ...

Euclides - 1846 - 292 pagina’s
...two triangles, which is adjacent to their equal angles — therefore (1. 26) their other sides are equal, each to each, and the third angle of the one to the third angle of the other viz. the side AB to the side CD, and AC to BD, and the angle BAC to the angle BDC : Then because the...
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Elements of Geometry: Containing the First Six Books of Euclid, with a ...

Euclid, John Playfair - 1846 - 334 pagina’s
...is adjacent -to these equal angles, common to the two triangles ; therefore their - other sides are equal, each to each, and the third angle of the one to the third angle of the other (26. 1.) ; vi2. the side AB to the side CD, and AC to BD, and the angle BAC equal te the angle BDC....
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The first book of Euclid's Elements, simplified, explained and illustrated ...

Euclides - 1847 - 128 pagina’s
...adjacent to the equal angles, or the sides opposite to equal angles in each, then shall the other sides be equal, each to each, and the third angle of the one to the third angle of the other. PART. ENUN. — Let ABC, DEF be two As, which have the Zs ABC, BCA = Zs DEF, EFD, each to each ; viz....
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The definitions, postulates, axioms, and enunciations of the propositions of ...

Euclides - 1848 - 52 pagina’s
...in each, or the sides opposite to them ; then shall the other sides be equal, each to each, and also the third angle of the one to the third angle of the other. PROP. XXVII. THEOREM. If a straight line falling upon two other straight lines make the alternate angles...
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The first three books of Euclid's Elements of geometry, with theorems and ...

Euclid, Thomas Tate - 1849 - 120 pagina’s
...side BC common to the two triangles, which is adjacent to their equal angles; therefore their other sides shall be equal, each to each, and the third angle of the one to the third angle of the other (i. 26.), viz. the side AB to the side CD, and AC to BD, and the angle BAC equal to the angle BDC :...
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Elements of Geometry and Conic Sections

Elias Loomis - 1849 - 252 pagina’s
...the included side of the other, each to each, the two triangles will be equal, the other sides will be equal, each to each, and the third angle of the one to the third angle of the other. Let ABC, DEF be two triangles having the angle B equal to E, the angle C equal to F, and the included...
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The first two books of the Elements of Euclid, with additional figures ...

Euclides - 1852 - 152 pagina’s
...side BC common to the two triangles, which is adjacent to their equal angles; therefore their other sides shall be equal, each to each, and the third angle of the one " xxvi. i. to the third angle of the other b , viz. the side AB to the side CD, and AC to BD, (2.)...
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