| Euclides - 1855 - 230 páginas
...unnecessarily prolix. K 3 PROPOSITION VIII. THEOREM. In a right-angled triangle (ABC), if a perpendicular (AD) be drawn from the right angle to the base; the triangles on each side of it are similar to the whole triangle, aud to one another. DEMONSTRATION. Because the angles BAG and... | |
| Elias Loomis - 1858 - 256 páginas
...right-angled triangle, if a perpendicular is drawn from the right angle to the hypothenus.; , 1st. The triangles on each side of the perpendicular are similar to the whole triangle and to each other. 3d. The perpendicular is a mean proportional between the segments of the... | |
| Thomas Stantial - 1859 - 356 páginas
...angle." B. Similar triangles are one to another in the duplicate ratio of their homologous sides. C. In a right-angled triangle, if a perpendicular be...right angle to the base, the triangles on each side of it are similar to the whole triangle and to one another. 6. EXERCISES IN GEOMETRY. I. 1. Trisect a... | |
| Sandhurst roy. military coll - 1859 - 672 páginas
...without the circle, shall be equal to the square of the line which touches it. 2. In a right angled triangle if a perpendicular be drawn from the right angle to the base, the triangles on each side of it are similar to the whole triangle, and to one another. 3. Find the sum of n terms of the arithmetical... | |
| Euclides - 1860 - 288 páginas
...therefore the triangle ABC may be proved to be equiangular to the triangle DEF, as in the first case. In a right-angled triangle, if a perpendicular be...right angle to the base, the triangles on each side of it are similar to the whole triangle, and to one another. Given ABC a right-angled triangle, having... | |
| Eucleides - 1860 - 396 páginas
...unnecessarily prolix. PROPOSITION VIII. THEOREM. In a right-angled triangle (ABC), if a perpendicular (AD) be drawn from the right angle to the base; the triangles on each side of it are similar to the whole triangle, and to one another. DEMONSTRATION. Because the angles BAC and... | |
| War office - 1861 - 714 páginas
...t?s. Sd. per cent, simple interest. 10. Extract the square root of 4904481024. Voluntary Portion. 1. In a right-angled triangle, if a perpendicular be...right angle to the base, the triangles on each side of it are similar to the whole triangle and to one another. 2. Define a plane. If two planes which cut... | |
| S. M. Saxby - 1861 - 136 páginas
...instance, the small angle B 30° is opposite to the smaller side AC, &c. 22. Euc. VI. Prop. VIII. — In a right-angled triangle if a perpendicular be drawn...right angle to the base, the triangles on each side of it are similar to the whole triangle and to one another (that is, triangle ADC, triangle BDC, and triangle... | |
| Euclides - 1861 - 464 páginas
...the sides about the equal angles are proportional. PBOP. 8. — THEOR. -(Important.) In a rt. angled triangle, if a perpendicular be drawn from the right...angle to the base ; the triangles on each side of it are similar to the -whole triangle and to one another. DEM. Ax. 11,1. All rt. /.s are equal to one... | |
| Alexander Hadden Hutchinson - 1861 - 128 páginas
...points of section is equal to the square of half the line. VOLUNTARY PORTION. 1. In a right angled triangle if a perpendicular be drawn from the right angle to the base, the triangles on each side of it are similar to the whole triangle, and to one another. 2. Tïnd the sum of n terms of the arithmetical... | |
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