Books Books
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: Viz. the First Six Books, Together with the Eleventh ...

Euclid - 1835 - 540 pages
...equiangular to the triangle DEF. " at'yles," &c. QED Wherefore, " if two triPROP. VIII. THEOR. See 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 BAG ; and from...

The Elements of Euclid: viz. the first six books, together with the eleventh ...

Robert Simson - Trigonometry - 1835 - 513 pages
...triPROP. VIII. THKOR. Sec N. In a right angled triangle, if a perpendicular k drawn from the riyltt angle to the base, the triangles on each side of it are similar to the ichole triangle and to one another. Let ABC be a right angled triangle, having: the right angle BAC...

Library of Useful Knowledge: Geometry, plane, solid, and spherical [by ...

Mathematics - 1835
...1.), and therefore similar (31. Cor. 1.). Therefore, &c. 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...

The Element of Geometry

John Playfair - Geometry - 1836 - 114 pages
...triangle ABC is equiangular to the triangle DEF. Wherefore, if two triangles, &c. QED \ 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. i Let ABC be a right angled triangle, having the right angle BAG ; and...

The Teacher's Assistant in the "Course of Mathematics Adapted to the Method ...

Mathematics - 1836 - 472 pages
...triangles, shall be equiangular, and have those angles, equal about which the sides are proportionals. VIII. In 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. Сок. From this it is manifest, that the perpendicular drawn, from...

Elements of Plane Geometry According to Euclid

Andrew Bell - Euclid's Elements - 1837 - 240 pages
...equiangular to the triangle DEF, aa in the first case. 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 ABC be a right-angled triangle, having the right angle BAC ; and...

The First Six and the Eleventh and Twelfth Books of Euclid's Elements: With ...

Euclid - Geometry - 1837 - 410 pages
...the enunciation is also altered, with a view to render it more simple and plain. 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 whole triangle, and to one another....

Euclid's Elements [book 1-6] with corrections, by J.R. Young

Euclides - 1838 - 264 pages
...equiangular to the triangle DEF, as in the first case. Wherefore if two triangles, &c. QED 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 B AC ; and...