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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. "
A Royal Road to Geometry: Or, an Easy and Familiar Introduction to the ... - Page 278
by Thomas Malton - 1774 - 440 pages
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The first six books of the Elements of Euclid, with numerous exercises

Euclides - Geometry - 1853 - 178 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 angle to the base, the triangles on each side of it are similar to the whole triangle and to one another. LET abС...
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The geometry, by T. S. Davies. Conic sections, by Stephen Fenwick

Royal Military Academy, Woolwich - Mathematics - 1853 - 400 pages
...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 angle to the base, the triangles on each side of it are similar to the whole trianyle, and to one another. Let ABC...
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Elements of Geometry: Containing the First Six Books of Euclid with a ...

John Playfair - Euclid's Elements - 1855 - 340 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 drawn from the right angle tc the base ; the triangles on each side of it are similar to the whole triangle, and to one another....
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The Elements of geometry; or, The first six books, with the eleventh and ...

Euclides - 1855 - 262 pages
...other pair of homologous gides are either equal or supplementary. PROP. VIIL THEOREM. In a right-angled triangle, if a perpendicular be drawn from the right angle to the opposite side, tin triangles on each side of the perpendicular tire similar to the whole triangle,...
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Liber Cantabrigiensis, an account of the aids afforded to poor students, the ...

Robert Potts - 1855 - 1050 pages
...E. Shew that if DC be joined meeting the chord AS in F, then AE is equal to EF. 5. 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. 6. If...
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Examination papers used at the examinations for admission to the Royal ...

Sandhurst roy. military coll - 1859 - 672 pages
...and the part of it without the circle, shall be equal to the square of the line which touches it. 2. 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. 3. Find...
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A test-book for students; comprising sets of examination papers upon ...

Thomas Stantial - Examinations - 1859 - 356 pages
...triangles are one to another in the duplicate ratio of their homologous sides. C. 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. 6. EXERCISES...
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Euclid's Elements of plane geometry [book 1-6] explicitly enunciated, by J ...

Euclides - 1860 - 288 pages
...triangle ABC may be proved to be equiangular to the triangle DEF, as in the first case. 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. Given...
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Guide to the army - competitive examinations

Alexander Hadden Hutchinson - 1861 - 128 pages
...the line between the points of section is equal to the square of half the line. VOLUNTARY PORTION. 1. 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. 2. Tīnd...
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Examination papers used at the examination of candidates for appointment to ...

War office - 1861 - 260 pages
...angle at the circumference upon the same base, that is upon the same part of the circumference. 8. 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. 9. ABC...
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