| Isaac Todhunter - Euclid's Elements - 1867 - 426 pages
...to the triangle DEF. Wherefore, if two triangles &c. QED PROPOSITION 8. THEOREM. In a right-angled **triangle, if a perpendicular be drawn from the right...triangles on each side of it are similar to the whole** triangle, and to one another. Let ABC be a right-angled triangle, having the right angle BAC; and from... | |
| Euclid - 1868 - 138 pages
...ßáaiv кàQfтоç á^0jr тà irpbç тy кaQíтф Tpiofidá laTÍ Tif тf o\if Kai In a right-angled **triangle, if a perpendicular be drawn from the right angle to the base, the triangles on each side of** the perpendicular are similar to the whole and to Statement. — Let ABC be a right-angled triangle,... | |
| Robert Potts - 1868 - 434 pages
...THEOREM. In a right-angled triangle, if a perpendicular be draion from the rightangle to the bate ; **the triangles on each side of it are similar to the whole** triangle, and to one another, Let ABC be a right angled-triangle, having the right angle BA C; and... | |
| Ontario Chief Superintendent of Education - Education - 1869 - 450 pages
...line. 11. Inscribe an equiangular and equilateral pentagon in a given circle. 12. In a right-angled **triangle if a perpendicular be drawn from the right...triangles on each side of it are similar to the whole** triangle, and to each other. No. 15. NATURAL PHILOSOPHY— BOTH DIVISIONS. 1. Describe briefly the... | |
| James Smith - Circle-squaring - 1869 - 459 pages
...circle X, and, (OH2 — H T2) = area of a regular inscribed dodecagon to the circle X. In a right-angled **triangle, if a perpendicular be drawn from the right angle to the** opposite side, the triangles on each side of it, are similar to the whole triangle and to each other.... | |
| James Smith - Mathematics - 1869 - 492 pages
...whole triangle AC D. Now, by Euclid: Prop 8 : Book 6 : it is made to appear that: In a right-angled **triangle, if a perpendicular be drawn from the right angle to the** opposite side, the triangles on each side of it are similar to the whole triangle and to each other,... | |
| Euclides, James Hamblin Smith - Geometry - 1872 - 376 pages
...fourth proportional to the lines BD, DH, AB. PROPOSITION XII. THEOREM. (Eucl. vi. 8.) In a right.angled **triangle, if a perpendicular be drawn from the right...triangles on each side of it are similar to the whole** triangle and to one another. B a Let ABC be a right.angled A , having L BAC a rt. i , and from A let... | |
| William Alexander Myers - Circle-squaring - 1873 - 238 pages
...therefrom, the square root of the remaining || can be extracted exactly. THEOREM 3. In any right-angle **triangle if a perpendicular be drawn from the right angle to the base the triangles on each side** are similar to the whole triangle and to one another, and the perpendicular is a mean proportional... | |
| Euclides - 1874 - 342 pages
...the triangle DEF. Wherefore, if two triangles, &c. QED PROPOSITION 8.— Theorem. In a right-angled **triangle, if a perpendicular be drawn from the right...triangles on each side of it are similar to the whole** triangle, and to one another. Let ABC be a right-angled triangle, having the right angle BA C, and... | |
| Francis Cuthbertson - Euclid's Elements - 1874 - 400 pages
...corresponding angles equal and the sides about the equal angles proportional. PROPOSITION VI. In a right-angled **triangle, if a perpendicular be drawn from the right...angle to the base; the triangles on each side of it** shall be similar to the whole triangle and to one another. n Let ACB be a right-angled A having the... | |
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