 | Royal Military Academy, Woolwich - 1853 - 400 σελίδες
...equiangular to the triangle DEF. Wherefore, if two triangles, etc. QE i>. PROPOSITION VIII. THEOR. In a right-angled triangle, if a perpendicular be...triangles on each side of it are similar to the whole trianyle, and to one another. Let ABC be a right-angled triangle, having the right angle BAC ; and... | |
 | Sir James Kay-Shuttleworth - 1853 - 522 σελίδες
...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 arc similar to the whole triangle and to one another. 2. Equal triangles which have one angle of the... | |
 | Robert Potts - 1855 - 1050 σελίδες
...Describe a circle about a given triangle. 9. Give Euclid's definition of proportional magnitudes. 10. In a right-angled triangle, if a perpendicular be...angle to the base, the triangles on each side of it shall be similar to the whole triangle and to one another. To what objection has this definition been... | |
 | Euclides - 1855 - 230 σελίδες
...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...each side of it are similar to the whole triangle, aud to one another. DEMONSTRATION. Because the angles BAG and ADB are equal, being both right angles,... | |
 | John Playfair - 1855 - 340 σελίδες
...case. PROP. VIII. THEOR. In a right angled triangle if a perpendicular be drawn from the right angle tc the base ; 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 BAC ; and from the point A let AD be drawn... | |
 | Euclides - 1855 - 270 σελίδες
...opposite the other pair of homologous gides are either equal or supplementary. PROP. VIIL THEOREM. In a right-angled triangle, if a perpendicular be drawn from the right angle to the opposite side, tin triangles on each side of the perpendicular tire similar to the whole triangle,... | |
 | John Playfair - 1856 - 346 σελίδες
...PROP. VIII. THEOR. In. a rigid angled triangle if a perpendicular be drawn from the right angle tc the base ; the triangles on each side of it are similar to t/ie whale triangle, and to one another. Let ABC be a right angled triangle, having the right angle... | |
 | 1857 - 408 σελίδες
...right-angled triangle if a perpendicular be drawn Irum the r*ght angle to the base, the triangles on each^side of it are similar to the whole triangle and to one another. 2. Similar triangles are to one another in the duplicate ratio of their homologous sides. 3. The rectangle... | |
 | Thomas Stantial - 1859 - 352 σελίδες
...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...similar to the whole triangle and to one another. 6. EXERCISES IN GEOMETRY. I. 1. Trisect a given finite straight line. 2. Bisect a triangle by a line... | |
 | Sandhurst roy. military coll - 1859 - 672 σελίδες
...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...similar to the whole triangle, and to one another. 3. Find the sum of n terms of the arithmetical progression 1, 3, 5, 7, ... 4. Prove the formulae sin... | |
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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. 
