 | Robert Potts - 1865 - 528 pages
...PROPOSITION VIII. THEOREM. ln a right-angled triangle, if a perpendicular be drawn from the right a»gh: to the base ; the triangles on each side of it are...similar to the whole triangle, and to one another. Let ABC\>& a right-angled triangle, having the right angle BAC; and from the point A let AD be drawn... | |
 | Euclides - 1865 - 402 pages
...equiangular, and those angles are equal about which the sides are proportional . . . . . . . . VI. 7. 6. In a right-angled triangle, if a perpendicular be drawn from the right angle upon the opposite side, it divides the triangle into parts which are similar to the whole and to one... | |
 | John Playfair - Geometry - 1855 - 350 pages
...PROP. VIII. THEOR. In a "tght angled triangle if a perpendicular be drawn from the nght angle tithe base ; the triangles on each side of it are similar to the whole trianglt, end to one another. Let ABC be a right angled triangle, having the right angle BAG ; and... | |
 | Euclid, Isaac Todhunter - Euclid's Elements - 1867 - 426 pages
...ABC is equiangular to the triangle DEF. Wherefore, if two triangles &c. QED PROPOSITION 8. THEOREM. In a right-angled triangle, if a perpendicular be...similar to the whole triangle, and to one another. Let ABC be a right-angled triangle, having the right angle BAC; and from the point A, let AD be drawn... | |
 | Euclid - 1868 - 138 pages
...firi rr¡v ßáaiv кàQfтоç á^0jr тà irpbç тy кaQíтф Tpiofidá laTÍ Tif тf o\if Kai In a right-angled triangle, if a perpendicular be...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 from the point A let AD be drawn... | |
 | Ontario Chief Superintendent of Education - Education - 1869 - 450 pages
...given • straight line. 11. Inscribe an equiangular and equilateral pentagon in a given circle. 12. In a right-angled triangle if a perpendicular be drawn...side of it are similar to the whole triangle, and to each other. No. 15. NATURAL PHILOSOPHY— BOTH DIVISIONS. 1. Describe briefly the difference between... | |
 | James Smith - Circle-squaring - 1869 - 459 pages
...similar to the 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>... | |
 | James Smith - Mathematics - 1869 - 492 pages
...about the circle X, and, (OH ' — HT ' ) = 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.... | |
 | Euclides, James Hamblin Smith - Geometry - 1872 - 376 pages
...that AC is a fourth proportional to the lines BD, DH, AB. PROPOSITION XII. THEOREM. (Eucl. vi. 8.) In a right.angled triangle, if a perpendicular be...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 AD be drawn x to BC. Then must... | |
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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. 
