| George Albert Wentworth - Geometry, Plane - 1881 - 250 pages
...diagonals. GEOMETRY. — BOOK IV. PROPOSITION XIII. THEOREM. 3-41. Two triangles having an angle of the **one equal to an angle of the other are to each other** an the products of the sides including the equal angles. Let the triangles ABC and AD E have the common... | |
| Evan Wilhelm Evans - Geometry - 1884 - 155 pages
...ANC = ACN = CAO. ANC = CBA + BAN. Complete the proof. 24. Two triangles which have an angle of the **one equal to an angle of the other, are to each other** as the products of the sides in- B eluding the equal angles. See Theo. VII. BAC : BAF = BC : BF(?).... | |
| Webster Wells - Geometry - 1886 - 371 pages
...other as the squares of any two homologous lines. PROPOSITION VIII. THEOREM. 336. Two triangles having **an angle of one equal to an angle of the other, are to each other** as the products of the sides including the equal angles. Let the triangles ABC and AB'C' have the common... | |
| W. E. BYERLY - 1887
...BC A'D' X B'C' and we have ABC A' B' C' EXERCISE. Theorem. — Two triangles having an angle of the **one equal to an angle of the other are to each other** as the products of the sides including the equal angles. Suggestion. Let ADE and ABC be the two triangles.... | |
| George Albert Wentworth - 1889
...perimeter X radius of the circle. COMPARISON OF AREAS. 187. Theorem. The areas of two triangles having **an angle of one equal to an angle of the other are to each other** as the rectangles of the sides including the equal angles. 188. Theorem. Similar triangles are to each... | |
| George Albert Wentworth - 1889
...perimeter X radius of the circle. COMPARISON OF AREAS. 187. Theorem. The areas of two triangles having **an angle of one equal to an angle of the other are to each other** as the rectangles of the sides including the equal angles. 188. Theorem. Similar triangles are to each... | |
| Webster Wells - Algebra - 1890 - 577 pages
...similar, as also are the triangles EOG and COD ; for, by Geometry, two triangles are similar when they **have an angle of one equal to an angle of the other,** and the including sides proportional. Then the figure OFEG is similar to OBDC, and hence OFEG is a... | |
| Edward Albert Bowser - Geometry - 1890 - 393 pages
...47, Book I. Euclid). Proposition 8. Theorem. 375. The areas of two triangles having an angle of the **one equal to an angle of the other, are to each other** as the products of the sides including the equal angles. Hyp. Let ABC, ADE be the two AS A having the... | |
| Examinations - 1893
...one half the intercepted arc. 1 2 5 Prove that the areas of two triangles which have an angle of the **one equal to an angle of the other are to each other** as the products of the sides including the equal angles. 16 6 Prove that the area of a regular polygon... | |
| William Chauvenet - 1893
...A'D' B'C' and we have ARC _ = 'AT? A'B'O' EXERCISE. Theorem. — Two triangles having an angle of the **one equal to an angle of the other are to each other** as the products of the sides including the equal angles. Suggestion. Let ADE and ABC be the two triangles.... | |
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