| William George Spencer - 1876 - 118 páginas
...the surfaces to fit each other, and give a sketch of the tetrahedron when made. You know how to tit a square in a circle. 13=2. Can you fit a square around...shorter respectively than the sides of the other, such triangleSj though not equal, are said to be similar each to the other. Now you have made two triangles... | |
| Richard Wormell - 1876 - 268 páginas
...Л AOB is an angle at the centre on one ; therefore ЛBAM=ЛMAO=ЛAOM. Hence the triangles AMB, OAB have the angles of one respectively equal to the angles of the other, and since А О В is isosceles, so also is AMB ; л в therefore AB = AM = MO. Because AM bisects... | |
| William George Spencer - 1877 - 103 páginas
...an angle into two equal angles. 126. Can you divide a sector into four equal sectors, and an.angle into four equal angles ? 127. Can you make a rhombus,...and similar. 133. Can you make two triangles that shall not be equal, and yet be similar ? 134. Make a rhomboid, and divide it several ways into two... | |
| William George Spencer - 1876 - 118 páginas
...fewest lines possible for its boundaries. 130. Of how few plane surfaces can you make a solid body ? A body which has four plane, equal, and similar surfaces,...and similar. 133. Can you make two triangles that shall not be equal, and yet be similar ? 134. Make a rhomboid, and divide it several ways into two... | |
| William George Spencer - 1877 - 108 páginas
...You recollect that plane figure that has the fewest lines possible for its boundaries. A body winch has four plane, equal, and similar surfaces, is called...and similar. 133. Can you make two triangles that shall not be equal, and yet be similar ? 134. Make a rhomboid, and divide it several ways into two... | |
| William George Spencer - 1886 - 116 páginas
...around one equilateral triangle to touch it. ' v j. 123. Can you place two hexagons so that one Eide of one hexagon may coincide with one side of the other...and similar. 133. Can you make two triangles that shall not be equal, and yet be similar ? 134. Make a rhomboid, and divide it several ways into two... | |
| James McMahon - 1903 - 382 páginas
...are said to be mutually equilateral, or one is said to be equilateral to the other. Two polygons that have the angles of one respectively equal to the angles of the other, taken in order, are said to be mutually equiangular, or one is said to be equiangular to the other.... | |
| Alexander H. McDougall - 1910 - 316 páginas
...similar. ) \ \ 98. There are two conditions implied when figures are said to be similar: not only are the angles of one respectively equal to the angles of the other, but a certain relationship must exist between the lengths of the sides of the two figures. For triangles,... | |
| George William Evans - 1911 - 124 páginas
...same, their ratio is equal to the ratio of the products of the sides that include the equal angles. If two triangles have the angles of one respectively equal to the angles of the other, the ratio of any two corresponding sides is equal to the ratio of any other two corresponding sides... | |
| Mabel Sykes, Clarence Elmer Comstock - 1918 - 344 páginas
...How is the value of x found? Why? SIMILAR TRIANGLES TEST I FOR SIMILAR TRIANGLES 209. THEOREM 101. If two triangles have the angles of one respectively equal to the angles of the other, the corresponding sides have equal ratios. BD A' tl FIG. 303 Hypothesis: AABC and ADEF are any two... | |
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