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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.
Euclid's Elements: Or, Second Lessons in Geometry,in the Order of Simson's ... - Page 92
by Dennis M'Curdy - 1846 - 138 pages

## The Elements of Euclid for the Use of Schools and Colleges: With Notes, an ...

Isaac Todhunter - Euclid's Elements - 1880 - 400 pages
...to the triangle DEF. Wherefore, if two trianglet &c. QED PROPOSITION 8. 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 ABC be a right-angled triangle, having the right angle BAC; and from...

## The Bombay university calendar, Volume 1

Bombay city, univ - 1880
...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...

## University local half-hour examination papers

...angles shall be equal to one another. 6. Define similar triangles : and show that 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. 7. Describe a circle that shall have a given radius and shall touch a...

## The Cambridge Examiner, Volume 2

Education, Higher - 1882
...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 drawn from the right...triangles on each side of it are similar to the whole triangle and to one another. 14. If three straight lines be proportionals, the rectangle contained...

## The Practical Teacher; with which is Incorporated the Practical ..., Volume 2

Joseph Hughes - Education - 1883
...sides about the equal angles of triangles which are triangular to one another are proportional. 11. In a right angled triangle, if a perpendicular be...base, the triangles on each side of it are similar to one another. If the segments of the base are in the ratio of 4 : I, find the ratio of the squares on...

## The Elements of Euclid for the Use of Schools and Colleges: Comprising the ...

Euclid, Isaac Todhunter - Euclid's Elements - 1883 - 426 pages
...Therefore the triangle ABC is equiangular to the triangle DEF. PROPOSITION 8. 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 ABC be a right-angled triangle, having the right angle BAG; and from...

## The Practical Teacher, Volume 2

Education - 1883
...sides about the equal angles of triangles which are equiangular to one another are proportional. 11. In a right angled triangle, if a perpendicular be...angle to the base, the triangles on each side of it •ire similar to one another. If the segments of the base are in the ratio of 4 : I, find the ratio...

## Elements of geometry, containing books i. to vi.and portions of books xi ...

Euclides, James Hamblin Smith - 1883
...PROPOSITION XII. THEOREM. (Eucl. vr. 8.) In a- right-angled triangle, if a perpendicular be draicn from the right angle to the base, the triangles on each side of it an similar to the whole triangle and to one another. Let ABC be a right-angled A , having L BAC a rt....