 ... 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 Ellsworth Slaught, Nels Johann Lennes - Geometry, Plane - 1910 - 304 pages
...respectively parallel or perpendicular to the sides of the other are similar. PLANE GEOMETRY. 259. THEOREM. // two triangles have an angle of one equal to an angle of the other and the pairs of adjacent sides in the same ratio, the triangles are similar. \ o' (Why?) V BC Given... | |
 | Herbert Ellsworth Slaught, Nels Johann Lennes - Geometry, Plane - 1910 - 300 pages
...one respectively parallel or perpendicular to the sides of the other are similar. 259. THEOEEM. // two triangles have an angle of one equal to an angle of the other and the pairs of adjacent sides in the same ratio, the triangles are similar. B' C' c Given A ABC and... | |
 | Clara Avis Hart, Daniel D. Feldman - Geometry, Modern - 1911 - 328 pages
...diagonals. HINT. How do the diagonals of a trapezoid divide each other ? PBOPOSITION XVI. THEOREM 428. If two triangles have an angle of one equal to an angle of the other, and the including sides proportional, the triangles are similar. A Given K ABC and DEF with Z. A =... | |
 | Geometry, Plane - 1911 - 192 pages
...Through any three points not in the same straight line one and only one circumference can be passed. 3. If two triangles have an angle of one equal to an angle of the other, and the including sides proportional, the triangles are similar. 4. The square described on the hypotenuse... | |
 | Clara Avis Hart, Daniel D. Feldman - Geometry, Modern - 1911 - 332 pages
...II. Two triangles are similar if their sides are proportional. III. Two triangles are similar if they have an angle of one equal to an angle of the other, and the including sides proportional. IV. Two triangles are similar if their sides are parallel each... | |
 | William Betz, Harrison Emmett Webb, Percey Franklyn Smith - Geometry, Plane - 1912 - 360 pages
...and 20, measurements being in centimeters. f? . J/r IJ t T' y, d ' i d PROPOSITION IV. THEOREM 337. If two triangles have an angle of one equal to an angle of the other, their areas are to each other as the products of the sides including the equal angles. c' zc Given... | |
 | Clara Avis Hart, Daniel D. Feldman - Geometry - 1912 - 504 pages
...diagonals. HINT. How do the diagonals of a trapezoid divide each other ? PROPOSITION XVI. THEOREM 428. If two triangles have an angle of one equal to an angle of the other, and the including sides proportional, the triangles are similar. AKCD Given A ABC and DEF with ZA =... | |
 | William Betz, Harrison Emmett Webb - Geometry, Modern - 1912 - 368 pages
...inscribed in a circle. The diagonals intersect at 0. Prove that AAOB~ACOD. PROPOSITION VI. THEOREM 386. If two triangles have an angle of one equal to an angle of the other, and the including sides proportional, the triangles are similar. A B C' Given the triangles ABC and... | |
 | George Clinton Shutts - Geometry - 1912 - 392 pages
...exercises, using a one foot jointed rulo. Also with a six inch jointed rule. 283. THEOREM. // tiro triangles have an angle of one equal to an angle of the other and the sides including the equal angles proportional, the triangles are similar. B ------- C B' C*... | |
 | Clara Avis Hart, Daniel D. Feldman, Virgil Snyder - Geometry, Solid - 1912 - 230 pages
...to one half its perimeter multiplied by the radius of the inscribed circle. 498, Two triangles which have 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. 503. Two similar triangles... | |
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