 | Simon Somerville Laurie - 1865 - 432 σελίδες
...angles." ft. To inscribe an equilateral and equiangular pentagon in a given circle. 0. If two triangles have one angle of the one equal to one angle of the other, and the sides about the equal angles proper tionals, the triangles shall be equiangular. 7. Similar... | |
 | John Playfair - 1855 - 350 σελίδες
...5.) : wherefore the parallelogram AB is equal (9. 5.) to the parallelogram BC. PROP. XV. THEOR. Equal triangles which have one angle of the one equal to one angle of ih* other have their sides about the equal angles reciprocally proportional ; And triangles which have... | |
 | Euclid, Isaac Todhunter - 1867 - 424 σελίδες
...equal to one angle of the other, have their sides about the equal angles reciprocally proportional; and triangles which have one angle of the one equal to one angle of the other, and their sides about the equal angles reciprocally proportional, are equal to one another. Let ABC,... | |
 | Euclid, Isaac Todhunter - 1867 - 426 σελίδες
...equal to one angle of the other, have their sides about the equal angles reciprocally proportional; and triangles which have one angle of the one equal to one angle of the other, and their sides about the equal angles reciprocally proportional, are equal to one another. Let ABC,... | |
 | Edinburgh univ - 1868 - 334 σελίδες
...rectangle contained by the segments of the other. 4. To inscribe a circle in a given triangle. 5- Equal triangles which have one angle of the one equal to one angle of the other, have their sides about the equal angles reciprocally proportional. 6. Find the continued product of (x + y + z),... | |
 | 1868 - 272 σελίδες
...Let the lines joining the point P to the points A and B cut a line in the points a, /3. The areas of triangles which have one angle of the one equal to one angle of the other, have to one another the ratio which is compounded of the ratios of the sides. Applying this to the triangles... | |
 | E. M. Reynolds - 1868 - 172 σελίδες
...equiangular to A' B'C' ; Therefore ABC is equiangular to A'B'C'. Relation of Areas of Figures. THEOREM VI. Triangles which have one angle of the one equal to one angle of the other, are to each other as the products of the sides containing the equal angle. Let the triangles ABC, A'BC'... | |
 | Robert Potts - 1868 - 434 σελίδες
...equiangular to the triangle DEF. Wherefore, if the sides, &c. QED PROPOSITION VI. THEOREM. If two triangles have one angle of the one equal to one angle of the other, and the sides about the equal angles proportionals, the triangles shall be equiangular, and shall have... | |
 | 1884 - 538 σελίδες
...other pair of homologous sides shall either be equal, or be together equal to two right angles. 15. Triangles which have one angle of the one equal to one angle of the other, have to one another the ratio which is compounded of the ratios of their sides. Algebra. Junior, Senior,... | |
 | Simon Newcomb - 1881 - 418 σελίδες
...such sides is equal to the rectangle of the sides of the parallelogram. THEOREM 8. If two triangles have one angle of the one equal to one angle of the other, and the perpendiculars from the other two angles upon the opposite sides proportional, they are similar.... | |
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If two triangles have one angle of the one equal to one angle of the other and the sides about these equal angles proportional, the triangles are similar. 
