| William Alexander Myers - Circle-squaring - 1874 - 207 pages
...remaining || can be extracted exactly. THEOREM 3. In any right -angle triangle if a perpendicular le **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... | |
| Richard Wormell - 1876 - 268 pages
...and have those angles equal about which the sides are proportionals. . . . . . . . . . . . . 215 8. **In a right angled triangle, if a perpendicular be...triangles on each side of it are similar to the whole** triangle and to one another. .. .. .. .. -.215 T1. To find a third proportional to two given straight... | |
| Education Department,London - 1876 - 1010 pages
...alternate segments of the sides will be equal to the continued product of the other three segments. 3. **In a right angled triangle, if a perpendicular be...triangles on each side of it are similar to the whole** triangle and to one another. Write down some of the proportions that can be established between the... | |
| Robert Potts - Geometry - 1876 - 446 pages
...have the same ratio which the other sides of the triangle have to one another. 4. 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. 5. If four straight lines be proportionals, the similar rectilineal figures... | |
| Euclid - 1876 - 240 pages
...Def. 1. PROPOSITION VIIL THEOREM. In a right-angled triangle (ABC), i/ a perpendicular (AD) be dratcn **from the right angle to the base ; the triangles on each side of it are similar to the whole** triangle. and to one another. DEMONSTRATION. Because the angles BAC and ADB are equal, being both right... | |
| Civil service - 1878 - 228 pages
...and the base produced is equal to the perpendicular altitude of the triangle. 6. 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. Prove that the segments of the base are to one another in the duplicate... | |
| Āryabhaṭa - 1878 - 100 pages
...straight line &c. 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... | |
| University of Oxford - Greek language - 1879 - 414 pages
...of four magnitudes 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...triangles on each side of it are similar to the whole** triangle and to one another. 8. Draw a straight line perpendicular to a given straight line of unlimited... | |
| Isaac Sharpless - Geometry - 1879 - 282 pages
...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 from the 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... | |
| Sandhurst roy. military coll - 1880 - 68 pages
...about each of their angles, be proportionals, the triangles shall be equiangular. 7. 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. 8. Describe the three different systems of units by means of which the... | |
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