 ... they have an angle of one equal to an angle of the other and the including sides are proportional; (c) their sides are respectively proportional.  The Elements of Geometry - Page 177by Walter Nelson Bush, John Bernard Clarke - 1905 - 355 pagesFull view - About this book
 | Herbert Edwin Hawkes, William Arthur Luby, Frank Charles Touton - Geometry, Modern - 1920 - 328 pages
...sum of the other offsets and multiply the result by the distance between the offsets. Theorem S 325. If two triangles have an angle of one equal to an angle of the other, their areas are to each other as the product of the sides including the angle of the first is to the... | |
 | Arthur Sullivan Gale, Charles William Watkeys - Functions - 1920 - 464 pages
...the angles of the one equal respectively to the angles of the other, the triangles are similar. (c) If two triangles have an angle of one equal to an angle of the other, and the including sides proportional, the triangles are similar. (d) If two triangles have their sides... | |
 | United States. Office of Education - 1921 - 1286 pages
...similar if (a) they have two angles of one equal, respectively, to two angles of the other; (6) they have an angle of one equal to an angle of the other and the including sides are proportional; (c) their sides are respectively proportional. 14. If two... | |
 | Education - 1921 - 1190 pages
...similar Lf («) they have two angles of one equal, respectively, to two angles of the other; (h] they have an angle of one equal to an angle of the other and the including aides are proportional; (c) their sides are respectively proportional. 14. If two... | |
 | Herbert Edwin Hawkes, William Arthur Luby, Frank Charles Touton - Geometry, Solid - 1922 - 216 pages
...322. The area of a trapezoid is one half the product of its altitude and the sum of its bases. 325. If two triangles have an angle of one equal to an angle of the other, their areas are to each other as the product of the sides including the angle of the first is to the... | |
 | National Committee on Mathematical Requirements - Mathematics - 1922 - 84 pages
...similar if (a) they have two angles of one equal, respectively, to two angles of the other; (b) they have an angle of one equal to an angle of the other and the including sides are proportional; (c) their sides are respectively proportional. 14. If two... | |
 | David Eugene Smith - Geometry, Plane - 1923 - 314 pages
...corollary ? FUNDAMENTAL THEOREMS BOOK III Proposition 4. Angle and Proportional Sides 213. Theorem. If two triangles have an angle of one equal to an angle of the other and the including sides proportional, the triangles are similar. •BA Given the AABC and A'B'C' with... | |
 | Edson Homer Taylor, Fiske Allen - Mathematics - 1923 - 104 pages
...angles of the other, the triangles are similar. THEOREM XLVII 197. Two triangles are similar if they have an angle of one equal to an angle of the other and the including sides proportional, c c> A '" B A' B' 198. Analysis. Given A ABC and A A'B'C' having... | |
 | National Committee on Mathematical Requirements - Mathematics - 1923 - 680 pages
...similar if (a) they have two angles of one equal, respectively, to two angles of the other; (b) they have an angle of one equal to an angle of the other and the including sides are proportional; (c) their sides are respectively proportional. Teachers should... | |
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