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" ... 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. "
Orr's Circle of the Sciences: The mathematical sciences - Page 58
edited by - 1854
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Pantologia. A new (cabinet) cyclopædia, by J.M. Good, O. Gregory ..., Volume 5

John Mason Good - 1813 - 722 pages
...or the sides opposite to equal angles in each j then shall the other sides he equal, each to eacli ; and also the third angle of the one to the third angle of the other. Prop. XXVII. Theor. If a straight line falling upon two other strniirht lines makes the alternat«...
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The Elements of Euclid: Viz. the First Six Books, Together with the Eleventh ...

Euclides - 1816 - 528 pages
...; and one side equal to one side, viz. either the sides adjacent to the equal angles, or the sides opposite to equal angles in each ; then shall the...angle of the one to the third angle of the other: Let A BC, DEF be two triangles which have the angles ABC, BCA equal to the angles DEF, EFD, viz. ABC...
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A Treatise on Spherics: Comprising the Elements of Spherical Geometry, and ...

Daniel Cresswell - Geometry - 1816 - 294 pages
...be, together, unequal to two quadrants, then, the remaining sides shall be equal, each to each ; and the third angle of the one, to the third angle of the other. Let^JJC, EFG\>e two spherical triangles, having the angle A equal to E, the angle C equal to G, and...
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Elements of Geometry: Containing the First Six Books of Euclid: With a ...

John Playfair - 1819 - 317 pages
...equal to one side, viz. either the sides adjacent to the equal angles, or the sides opposite to the equal angles in each ; then shall the other sides...angle of the one to the third angle of the other. Let ABC, DEF be two 'triangles which have the angles ABC, BCA equal to the angles DEF, EFD, viz. ABC...
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Pantologia. A new (cabinet) cyclopædia, by J.M. Good, O. Gregory ..., Volume 5

John Mason Good - 1819 - 740 pages
...sides opposite to equal angles in each ; then shall the other tides be equal, each to each; und al>o the third angle of the one to the third angle of the other. I'rop. XXVII. Thcor. If a straight line f.iljnj?; upon two other straight line« makes the altérnale...
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A Popular Course of Pure and Mixed Mathematics ...: With Tables of ...

Peter Nicholson - Mathematics - 1825 - 372 pages
...; and one side equal to one side, viz. either the sides adjacent to the equal angles, or the sides opposite to equal angles in each ; then shall the...angle of the one to the third angle of the other. Let ABC, DEF be two triangles which have the angles ABC, BCA equal to the angles DEF, EFD, viz. ABC...
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Elements of Geometry: Containing the First Six Books of Euclid, with a ...

John Playfair - Circle-squaring - 1826 - 320 pages
...the sides opposite to the equal angles in eaeh ; then shall the other sides be equal, eaeh to eaeh ; and also the third angle of the one to the third angle of the other. Let ABC, DEF be two A. D triangles whieh have the angles ABC, BCA equal tolheanglesDEF,EFD, viz. ABC...
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The Elements of Euclid: The Errors by which Theon, Or Others, Have Long ...

Robert Simson - Trigonometry - 1827 - 513 pages
...; and one side equal to one side, viz. either the sides adjacent to the equal angles, or the sides opposite to equal angles in each; then shall the other...angle of the one to the third angle of the other. Let ABC, DEF be two triangles which have the angles ABC, BCA equal to the angles DEF, EFD, each to...
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Elements of Geometry: Containing the First Six Books of Euclid : with a ...

John Playfair - Euclid's Elements - 1832 - 333 pages
...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.) viz. the side AB to the side CD, and AC to BD,and the angle BAC equal to the angle BDC. And...
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The Moral Class Book, Or The Law of Morals: Derived from the Created ...

William Sullivan - Ethics - 1833 - 380 pages
...equal to one side, viz. either of the sides adjacent to the equal angles, or the sides opposite to the equal angles in each; then shall the other sides be...angle of the one, to the third angle of the other. But to prove that such equality exists, a process of reasoning must be gone through. To make out that...
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