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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. "
The Quadrature and Geometry of the Circle Demonstrated - Page 212
by James Smith - 1872 - 269 pages
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Elements of Geometry: Containing the First Six Books of Euclid, with a ...

John Playfair - Mathematics - 1806 - 320 pages
...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 each other* Let ABC be a right angled triangje, having the right angle BAC, and from the point A let AD be drawn...
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The Elements of Euclid: The Errors, by which Theon, Or Others, Have Long Ago ...

Robert Simson - Trigonometry - 1806 - 546 pages
...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 ABC be a right angled triangle, having the right angle BAC ; and from the point A...
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Pantologia. A new (cabinet) cyclopædia, by J.M. Good, O. Gregory ..., Volume 5

John Mason Good - 1813 - 714 pages
...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. Prop. IX. Prob. From a given strait line to cut off any part required. Prop. X. Prob....
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A System of Land Surveying and Levelling: Wherein is Demonstrated ..., Volume 1

Peter Fleming - Surveying - 1815 - 250 pages
...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 one another, - 39 18. If two chords intersect each other within a circle or without il by being produced,...
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The Elements of Euclid: Viz. the First Six Books, Together with the Eleventh ...

Euclides - 1816 - 588 pages
...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 ABC be a right angled triangle, having the right angle BAC ; and from the point A...
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Elements of Geometry: Containing the First Six Books of Euclid: With a ...

John Playfair - 1819 - 354 pages
...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 ABC be a right angled triangle, having the right angle BAG : and from the point...
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The Elements of Euclid: The Errors by which Theon, Or Others, Have Long ...

Robert Simson - Trigonometry - 1827 - 546 pages
...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 from the point A...
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Elements of Geometry: Being Chiefly a Selection from Playfair's Geometry

John Playfair - Geometry - 1829 - 210 pages
...angled triangle, if a perpendicular be drawn from the right angle to the hypothenuse, the two triangles on each side of it are similar to the whole triangle and to each other. Let ABC be a right angled triangle, having the right angle BAC, and from the point A let AD be drawn...
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The Elements of Euclid: Viz. the First Six Books, Together with the Eleventh ...

Euclid - 1835 - 540 pages
...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 ABC be a right angled triangle, having the right angle BAG ; and from the point A...
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The Teacher's Assistant in the "Course of Mathematics Adapted to the Method ...

Mathematics - 1836 - 488 pages
...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. Сок. From this it is manifest, that the perpendicular drawn, from the fight angle of...
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