 | Great Britain. Admiralty - 1846 - 128 σελίδες
...to ea. .'. ^s ABC, DEF are equiangular. Wherefore if two triangles, &c. PROP. LXXV. THEOR. 8 . SE,,. In a right angled triangle, if a perpendicular be drawn from the right angle to the opposite side, the triangles on each side of the perpendicular are similar to the whole triangle, and... | |
 | Euclid, John Playfair - 1846 - 334 σελίδες
...triangle ABC may be proved to be equiangular to the triangle DEF, as in the first case. PROP. VIII. THEOR. 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. Let... | |
 | Dennis M'Curdy - 1846 - 168 σελίδες
...right angles, which are both absurd. Wherefore, if two triangles have two angles equal, &c. QED 8 Th 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 and to each other. Given the triangle... | |
 | Great Britain. Admiralty - 1846 - 128 σελίδες
....•. ^s ABC, DEF are equiangular. Wherefore if two triangles, &c. PROP. LXXV. THEOR. 8 . 6 E«. r na right angled triangle, if a perpendicular be drawn from the right angle to the opposite side, the triangles on each side of the perpendicular are similar to the whole triangle, and... | |
 | Euclides - 1846 - 292 σελίδες
...at C to the angle at F. Wherefore, If two triangles %c. UK o. PROP. VIII. THEOR. 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. Let ABC... | |
 | Euclides - 1848 - 52 σελίδες
...those angles equal about which the sides are proportionals. PROP. VIII. THEOREM. 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. COB.... | |
 | Great Britain. Committee on Education - 1850 - 942 σελίδες
...diagonals of any quadrilateral is less than the sum of the four sides* 11. In any right-angled isosceles triangle, if a perpendicular be drawn from the right angle to the hypotenuse, it will divide the triangle into two triangles, which are 3c2 equal to one another, and... | |
 | 1851 - 268 σελίδες
...always nearer to the centre than the less. _ 3. To inscribe a circle in a given square. SECTION III. 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. PAPERS... | |
 | 1851 - 502 σελίδες
...Triangles and parallelograms of the same altitude are to each other as their bases. 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 each other. SUCTION... | |
 | Sir James Kay-Shuttleworth - 1853 - 554 σελίδες
...always nearer to the centre than the less. 3. To inscribe a circle in a given square. Section 3. 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. Equal... | |
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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. 
