| Great Britain. Admiralty - Geometry - 1846 - 130 pages
...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... | |
| Great Britain. Admiralty - Geometry - 1846 - 130 pages
....•. ^s ABC, DEF are equiangular. Wherefore if two triangles, &c. PROP. LXXV. THEOR. 8 . 6 EĢ. 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 - 1848 - 52 pages
...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...triangles on each side of it are similar to the whole** triangle, and to one another. COB. From this it is manifest, that the perpendicular drawn from the... | |
| Great Britain. Committee on Education - 1850 - 914 pages
...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
...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...triangles on each side of it are similar to the whole** triangle and to one another. PAPERS FOE THE SCHOOLHASTEB. 2. Equal triangles, which have one angle... | |
| Education - 1851 - 502 pages
...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...triangles on each side of it are similar to the whole** triangle, and to each other. SUCTION V.—1. Describe an isosceles triangle, each of the sides of which... | |
| Sir James Kay-Shuttleworth - Church and education - 1853 - 554 pages
...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...triangles on each side of it are similar to the whole** triangle and to one another. 2. Equal triangles which have one angle of the one equal to one angle... | |
| Royal Military Academy, Woolwich - Mathematics - 1853
...the triangle DEF. Wherefore, if two triangles, etc. QE i>. PROPOSITION VIII. THEOR. In a right-angled **triangle, if a perpendicular be drawn from the right...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... | |
| Euclides - Geometry - 1853 - 176 pages
...triangle def Wherefore, if two triangles, &e. QED PROPOSITION VIII. — THEOREM. 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. LET abС be a right-angled triangle, having the right angle ba С ; and... | |
| Sir James Kay-Shuttleworth - Church and education - 1853 - 522 pages
...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...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... | |
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