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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

## A System of Land Surveying and Levelling: Wherein is Demonstrated ..., Volume 1

Peter Fleming - Surveying - 1815 - 242 pages
...triangle, the adjoining sides are cut proportionally by a line drawn parallel to the other side, 38 17. In a right angled triangle, if a perpendicular be drawn from the Tight angle to the base, the triangles on each side of it are similar to the whole triangle, and to...

## The Elements of Euclid: Viz. the First Six Books, Together with the Eleventh ...

Euclides - 1816 - 528 pages
...equiangular to the triangle DEF. Wherefore, if the two triangles, &c. Q . ED 5. I. PROP. VIII. THEOR. Se«N. 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. Let ABC be a right angled triangle, having the right angle BAC ; and...

## Elements of Geometry: Containing the First Six Books of Euclid, with a ...

John Playfair - Euclid's Elements - 1819 - 333 pages
...triangle ABC may be proved to be equiangular to the triangle DEF, as in the first case. PROP. VIII. THEOR. 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. Let ABC be a right angled triangle, having the right angle BAC ; and...

## The Elements of Euclid: Viz. the First Six Books, Together with the Eleventh ...

Euclid, Robert Simson - Geometry - 1821 - 514 pages
...ABC is equiangular to the triangle DEF. Wherefore, if two triangles, &c. QED PROP. VIII. THEOR. TN a right angled triangle, if a perpendicular be drawn...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 B AC; and...

## Elements of Geometry, Containing the First Six Books of Euclid

Euclid - 1826 - 236 pages
...DEF. If, therefore, two triangles, 8tc. QED PROPOSITION VIII. THEOREM. If in a right angled triangle a perpendicular be drawn from the right angle to the base, the triangles made by 'the perpendicular are similar to the whole and to one another. Let ABC be a right angled triangle,...

## Elements of Geometry: Containing the First Six Books of Euclid, with a ...

John Playfair - Circle-squaring - 1826 - 320 pages
...triangle DEF, as in the first ease. . PROP. VIII. THEOR. In a right angled triangle if a perpendieular be drawn from the right angle to the base ; the triangles on eaeh side of it are similar to the whole triangle, and to one another. Let ABC be a right angled triangle,...

## The Elements of Euclid: The Errors by which Theon, Or Others, Have Long ...

Robert Simson - Trigonometry - 1827 - 513 pages
...triangles, &o. QED PROP. VIII. THEOK. In a right angled triangle, if a perpendicular be drawn See N, from the right angle to the base .• the 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...

## The Elements of Euclid: Viz, the First Six Books, Together with the Eleventh ...

Euclid, Robert Simson - Geometry - 1829 - 516 pages
...two triangles, &c. QED F PROP. VIII. THEOR. IN a right angled triangle, if a perpendicular be drawu from the right angle to the base, the 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...

## Elements of Geometry: Being Chiefly a Selection from Playfair's Geometry

John Playfair - Geometry - 1829 - 186 pages
...divide the triangle into two triangles which are similar to the whole triangle, and also to each other. In a right angled triangle if a perpendicular be drawn from the right angle to the hypothenuse, it will be a mean proportional between the segments of the hypothenuse ; and each of the...

## Geometry, Plane, Solid, and Spherical, in Six Books: To which is Added, in ...

Pierce Morton - Geometry - 1830 - 584 pages
...1.), and therefore similar (31. Cor. 1.). Therefore, SEC. ' PROP. 34. (Eue. vi. 8.) In a right-angled triangle, if a perpendicular be drawn from the right angle to the hypotenuse, the triangles upon either side of it shall be similar to the whole triangle, and to one...