 | Āryabhaṭa - 1878 - 100 pages
...QED Cor. The angle in a semicircle is a right angle. PROP. xxv. THEOREM. (E. 6. 8). 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... | |
 | James Hamblin Smith - Euclid's Elements - 1879 - 378 pages
...that AC is a fourth proportional to the lines BD, DA, AB. PROPOSITION XII. THEOREM. (Eucl. vi. 8.) Jn. a right-angled triangle, if a perpendicular be drawn...similar to the whole triangle and to one another. Bo ' <f Let ABC be a right-angled A , having L BAC a rt. L , and from A let AD be drawn -L to DC. Then... | |
 | University of Oxford - Greek language - 1879 - 414 pages
...said to have the same ratio to the second which the third has to the fourth ? 7. In a right angled triangle, if a perpendicular be drawn from the right...similar to the whole triangle and to one another. 8. Draw a straight line perpendicular to a given straight line of unlimited length, from a given point... | |
 | Isaac Sharpless - Geometry - 1879 - 282 pages
...from these equals the common angle GBH, and DEF will be equal to ABC. Proposition 8. Theorem.—In a right-angled triangle, if a perpendicular be drawn...right angle to the base, the triangles on each side are similar to the whole triangle and to each other. Let ABC be a right-angled triangle, having the... | |
 | Isaac Todhunter - Euclid's Elements - 1880 - 426 pages
...ABC is equiangular to the triangle DEF. Wherefore, if two trianglet &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... | |
 | Sandhurst roy. military coll - 1880 - 68 pages
...two triangles, about each of their angles, be proportionals, the triangles shall be equiangular. 7. In a right-angled triangle, if a perpendicular be...similar to the whole triangle, and to one another. 8. Describe the three different systems of units by means of which the magnitudes of angles are expressed.... | |
 | Bombay city, univ - 1880 - 754 pages
...proportional between two given straight lines. 8. In a right-angled triangle, if a perpendicular be drawn 1.1 from the right angle to the base, the triangles on each side Three points A, B, U lie in a straight line and A 1' is drawn in any direction a mean proportional... | |
 | John Robertson (LL.D., of Upton Park sch.) - Examinations - 1882 - 152 pages
...opposite to the equal angles shall be equal to one another. 6. Define similar triangles : and show that in a right-angled triangle, if a perpendicular be...similar to the whole triangle, and to one another. 7. Describe a circle that shall have a given radius and shall touch a given circle and a given straight... | |
 | Education, Higher - 1882 - 498 pages
...will be bisected at right angles by a line drawn from the centre to the point without the circle. 13. In a right-angled triangle, if a perpendicular be...similar to the whole triangle and to one another. 14. If three straight lines be proportionals, the rectangle contained by the extremes is equal to the... | |
 | Isaac Sharpless - Geometry - 1882 - 286 pages
...away from these equals the common angle GBH, and DEF will be equal to ABC. Proposition 8. Theorem. — In a right-angled triangle, if a perpendicular be...right angle to the base, the triangles on each side are similar to the whole triangle and to each other. Let ABC be a right-angled triangle, 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. 
