| Yale University - 1898
...tangent to a given line at a given point B, and prove the construction correct. 5. 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 those angles. (В) 1. The shadow cast on level ground... | |
| James Howard Gore - 1898 - 210 pagina’s
...Compare area of AliE, BEFand. FEC, EDC. PROPOSITION VII. THEOREM. 261. 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. . Let ABC and ADE be two triangles,... | |
| George Albert Wentworth - 1899 - 256 pagina’s
...the other vertices of the polygon. AREAS OF POLYGONS. PROPOSITION VII. THEOREM. 410. 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. Let the triangles ABC and ADE have... | |
| George Albert Wentworth - 1899 - 256 pagina’s
...equal, respectively, to two angles of the other. PROPOSITION XVIII. THEOREM. 357. If two triangles **have an angle of the one equal to an angle of the other,** and the including sides proportional, they are similar. A' In the triangles ABC and A'B'C', let ZA... | |
| George Albert Wentworth - 1899 - 218 pagina’s
...similar if an acute angle of the one is equal to an acute angle of the other. 357. If two triangles **have an angle of the one equal to an angle of the other,** and the including sides proportional, they are similar. 358. If two triangles have their sides respectively... | |
| George Albert Wentworth - 1899 - 473 pagina’s
...two angles of the other. BOOK III. PLANE GEOMETRY. PROPOSITION XVIII. THEOREM. 357. If two triangles **have an angle of the one equal to an angle of the other,** and the including sides proportional, they are similar. In the triangles ABC and A'B'C', let ^ A =... | |
| 1900
...long as CD. The diagonals AC, BD intersect at 0. Show that CO is a quarter of CA. V. Two triangles **have an angle of the one equal to an angle of the other,** and the sides about those angles proportionals. Prove the triangles similar. VI. AB is a tangent to... | |
| Great Britain. Board of Education, Sir Michael Sadler, C. C. Cotterill - 1900 - 531 pagina’s
...long as CD. The diagonals AC, BD intersect at 0. Show that CO is a quarter of С A. V. Two triangles **have an angle of the one equal to an angle of the other,** and the sides about those angles proportionals. Prove the triangles similar. VI. AB is a tangent to... | |
| Great Britain. Parliament. House of Commons - 1900
...long as CD. The diagonals AC, Bl) intersect at 0. Show that (70 is a quarter of CA . V. Two triangles **have an angle of the one equal to an angle of the other,** and the sides about those angles proportionals. Prove the triangles similar. VI. AB is a tangent to... | |
| 1901
...parallel to a given straight line ; if A(f he bisected in fí, find the locus of R. 6. If two triangles **have an angle of the one equal to an angle .of the other,** and the sides about the equal angles proportionals, the triangles shall he similar. 13_ In the side... | |
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