 | 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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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. 
