| 1886
...Prove that if the points A, K, L, G be in a straight line DC is parallel to EF. •6. In a right-angled **triangle, if a perpendicular be drawn from -the right angle to the base,** either side is a mean proportional between ihe base and the segment of the base adjacent to that side.... | |
| Canada. Department of the Interior - 1888 - 756 pages
...in a given circle. 12. Define proportion, similar figures, homologous, extreme and mean ratio. 13. **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. 14. On a given straight line to describe a rectilineal figure similar... | |
| 1888
...straight line joining the points of bisection will be trisected by the sides. 6. In a right-angled **triangle if a perpendicular be drawn from the right angle to the** hypotenuse, the triangles on each side of it are similar to the triangle and to one another. State... | |
| E. J. Brooksmith - Mathematics - 1889 - 354 pages
...and parallelograms of the same altitude are to one another as their bases. 2 10. 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. If AD be the perpendicular, and AB, AC the two sides including the right... | |
| Royal Military College, Sandhurst - Mathematics - 1890 - 144 pages
...their sides about the equal angles reciprocally proportional. 8. In a right-angled triangle, show that **if a perpendicular be drawn from the right angle to...triangles on each side of it are similar to the whole** triangle and to each other. ABC is a triangle ; AD is drawn perpendicular to BC, meeting it in D between... | |
| Euclid - Geometry - 1890 - 440 pages
...aright-angled triangle, if a perpendicular is drawn from the right angle on the hypotenuse — (a) **the triangles on each side of it are similar to the whole and to each other** : (j3) the perpendicular is a mean proportional between the segments of the hypotenuse : (y) each of... | |
| Edward Mann Langley, W. Seys Phillips - 1890 - 538 pages
...the Theorem enunciated, but incidentally the following highly important one : — In a right-angled **triangle, if a perpendicular be drawn from the right angle to the base, the** square on either of the sides containing the right angle is equal to the rectangle contained by the... | |
| Edward Albert Bowser - Geometry - 1890 - 420 pages
...NUMERICAL BELATIONS BETWEEN THE DLFFEREXT PAETS OF A TRIANGLE. Proposition 24. Theorem. 323. In a right **triangle, if a perpendicular be drawn from the right angle to the** hypotenuse : (1) The two triangles on each side of it are similar to the whole triangle and to each... | |
| 1891 - 720 pages
...times the angle in the other. 4. Inscribe a regular hexagon in a given circle. 5. 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. 6. Cut a given straight line in extreme and mean ratio. IM ALGEBRA. Time,... | |
| Rupert Deakin - Euclid's Elements - 1891 - 102 pages
...given the base, the altitude and the length of the median which bisects the base. 3. In a right-angled **triangle if a perpendicular be drawn from the right angle to the** hypothenuse, the two triangles thus formed are equiangular to one another. 4. Every right-angled triangle... | |
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