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

Robert Simson - Trigonometry - 1762 - 466 pages
...triangle DEF. Wherefore if two triangles, &c. Q^ED PROP, Book VI. \^r«j PROP. VIII. THE OR. 8ee N. TN a right angled triangle, if a perpendicular be drawn from the right angle to the bafe; the triangles ->n each fide of it are firnilar to the whole triangle, ar.d to one another. Let...
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A Royal Road to Geometry: Or, an Easy and Familiar Introduction to the ...

Thomas Malton - 1774 - 440 pages
...:EG : GI, and as EB : BD. Hence is deduced the 36th, a moft ufcful Problem. THEOREM VII. 8 Euclid. In a right angled Triangle, if a Perpendicular be drawn, from the Right Angle to the Hypothenufe, it will divide that Triangle into two Triangles, which are fimilar to each other; and...
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The Elements of Euclid, Viz: The Errors, by which Theon, Or Others, Have ...

Robert Simson - Trigonometry - 1775 - 520 pages
...equiangular to the triangle DEF. Wherefore, if two triangles, &c. PROP Book vI. PROP. VIII. THEO R. See N. TN a right angled triangle, if a perpendicular be drawn from the right angle to the bafe ; the triangles on each fide of it are fimilar to the whole triangle, and to one another. Let...
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Elements of Geometry;: Containing the First Six Books of Euclid, with Two ...

John Playfair - Euclid's Elements - 1795 - 444 pages
...ABC may be proved to be equiangular to the triangle DEF, as in the firft cafe. PROP. VIII. THEO R. !N a right angled triangle, if a perpendicular be drawn from the right angle to the bafe; the triangles on each fide of it are fimilar to the whole triangle, and to one another. Let ABC...
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The Elements of Euclid: Viz. the First Six Books, with the Eleventh and ...

Alexander Ingram - Trigonometry - 1799 - 351 pages
...Wherefore the triangle ABC is equiangular to the triangle DEF. Therefore, &c. Q^ED PROP. VIII. THEOR. IN a right angled triangle, if a perpendicular be drawn from the right angle to the bafe ; the triangles on each fide of it are fimilar to the whole triangle, and to one another. Let...
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Elements of Geometry;: Containing the First Six Books of Euclid, with a ...

John Playfair - Euclid's Elements - 1804 - 470 pages
...ABC may be proved, to be equiangular to the triangle DEF, as in the firft cafe. PROP. VIII. THEOR. IN a right angled triangle, if a perpendicular be drawn from the right angle to the bafe ; the triangles on each fide of it are limilar to the whole triangle, and to one another. Let...
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The Elements of Euclid: Also the Book of Euclid's Data ...cor. viz. The ...

Robert Simson - Trigonometry - 1804
...triangle DEF, &c. QED . \Vhercfcre if two triangles, Book VI. V— v-"' PROP. VIII. THEOR. See N. TN a right angled triangle, if a perpendicular be drawn ,•. from the right angle to the bale ; the triangles on each fide of it are fimjlar to the whole triangle, and to one another. Let...
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The Elements of Euclid: The Errors, by which Theon, Or Others, Have Long Ago ...

Robert Simson - Trigonometry - 1806 - 518 pages
...equiangular to the triangle DEF. Wherefore, if two triangles, &c. QED G D 5.1. F PROP. 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 BAC ; and...
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Elements of Geometry: Containing the First Six Books of Euclid, with a ...

John Playfair - Euclid's Elements - 1806 - 311 pages
...to the triangle DEF, as in the first case. Therefore, 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 each other* Let ABC be a right angled triangje, having the right angle BAC, and from...
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Pantologia. A new (cabinet) cyclopędia, by J.M. Good, O. Gregory ..., Volume 5

John Mason Good - 1813
...equiangular, and have those angles equal about which the sities are proportionals. Prop. VllI.Thcor. 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. Prop. IX. Prob. From a given strait line to cut off any part required....
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