 | Dennis M'Curdy - Geometry - 1846 - 166 pages
...p. 23, 1; (4) p. 4. 6 ; (c) p. 9, 5 ; (d)p.5, 1; (e)p. 13, 1; (/)p. 17, 1. 8 Th. In a right angled triangle, if a perpendicular be drawn from the right...triangles on each side of it are similar to the whole and to each other. Given the triangle ABC, right angled at C : the perpendicular CD divides ABC into... | |
 | Great Britain. Admiralty - Geometry - 1846 - 128 pages
...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 - 128 pages
...DEF are equiangular. Wherefore if two triangles, &c. PROP. LXXV. THEOR. 8 . 6 E«. 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
...equiangular, and shall have those angles equal about which the sides are proportionals. PROP. VIII. THEOREM. In a right-angled triangle, if a perpendicular be...similar to the whole triangle, and to one another. COB. From this it is manifest, that the perpendicular drawn from the right angle of a right-angled... | |
 | Great Britain. Committee on Education - 1850 - 942 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... | |
 | Education - 1851 - 502 pages
...side : and likewiie the two interior angles upon the same side together equal to two right angles. 2. In a right-angled triangle, if a perpendicular be...side of it are similar to the whole triangle, and to each other. 3. To describe a square that shall be equal to a given rectilineal figure. SECTION IV.—1.... | |
 | 1851 - 268 pages
...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 drawn from the right...similar to the whole triangle and to one another. PAPERS FOE THE SCHOOLHASTEB. 2. Equal triangles, which have one angle of the one equal to one angle... | |
 | Education - 1852 - 512 pages
...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...similar to the whole triangle and to one another. 2. Equal triangles which have one angle of the one equal to one angle of the other, have their sides... | |
 | Euclides - Geometry - 1853 - 176 pages
...equiangular to the triangle def Wherefore, if two triangles, &e. QED PROPOSITION VIII. — THEOREM. In a right-angled triangle, if a perpendicular be...similar to the whole triangle and to one another. LET abС be a right-angled triangle, having the right angle ba С ; and from the point a let ad be... | |
 | Sir James Kay-Shuttleworth - Church and education - 1853 - 554 pages
...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...similar to the whole triangle and to one another. 2. Equal triangles which have one angle of the one equal to one angle of the other, have their sides... | |
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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. 
