 | B. Marks - 1875 - 176 sider
...does the line de fall exactly upon the line ab? DEMONSTRATION. We wish to prove that, // two triangles have two angles, and the included side of the one...and the included side of the other, each to each, the two triangles are equal to each other in all respects. Let the triangles abc and d ef have the... | |
 | William Guy Peck - 1876 - 412 sider
...GEOMETRY. PROPOSITION VIII. THEOREM. If two spherical triangles have two angles and the included side of one, equal to two angles and the included side of the other, each to each, their remaining parts are equal, each to each. Let FGH and ACD be two spherical triangles, in which... | |
 | Edward Olney - 1876 - 354 sider
...on equal spheres, two sphev'cal triangles having two angles and the included side of the one eqval to two angles and the included side of the other, each to each, areequal, or symmetrical and equivalent. DEM.—Using the same triangles as in the preceding proposition,... | |
 | Elias Loomis - 1877 - 458 sider
...the included angle of the one equal to two sides and the included angle of the other each to each, or two angles and the included side of the one equal to two angles and the included side of the other. PROPOSITION XV. TIIEOREM. In an isosceles spherical triangle, the angles opposite the equal sides are... | |
 | Thomas Hunter - 1878 - 142 sider
...sides. If perpendiculars be let fall from any point, two right-angled triangles will be formed having two angles and the included side of the one equal...and the included side of the other, each to each. 5. The circle ABD is described upon the radius AB of the circle AEC: it is required to prove that the... | |
 | Isaac Sharpless - 1879 - 282 sider
...&ABC= &DEF ABG=DEF Proposition 8. Theorem.—If two triangles have two angles and the included side of one, equal to two angles and the included side of the other, each to each, the triangles will be equal in all their parts. DEF, DFE, and the side EF. The triangles will be equal... | |
 | Edward Olney - 1879 - 502 sider
...angle E, and that the areas are equaL Fio. 204. PROPOSITION VH. 286. Theorem. — Two triangles which have two angles and the included side of the one equal to two angles and tlie included side of the other, each to each, are equal. ^ Pro. 805. DEM.— Let ABC and DEF be two... | |
 | Harris Ray Greene - 1879 - 380 sider
...polemic discourse. If x — 10 then y = 6 ; if two angles and the included side of one is equal to the two angles and the included side of the other each to each, then, etc. If the pressure is less than our atmosphere the air will expand. If now we exhaust the air,... | |
 | Elias Loomis - 1880 - 452 sider
...etc. PROPOSITION XIII. THEOREM. If two triangles on equal spheres have two angles and the zncluded side of the one equal to two angles and the included side of the other each to each, their third angles will be equal, and their other sides will be equal each to each. If the two triangles... | |
 | Elias Loomis - 1880 - 456 sider
...of the one equal to two sides and the included angle of the other each to each, or two angles a-id the included side of the one equal to two angles and the included side of the other. PROPOSITION XV. THEOREM. In an isosceles spherical triangle, the angles opposite the equal sides are... | |
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If two triangles have two angles and the included side of the one, equal to two angles and the included side of the other, each to each, the two triangles will be equal. 
