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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.
Manual of Euclid: Books IV, V, VI, and Propositions 1-21 of Book XI - Página 76
por Euclid - 1868 - 141 páginas
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## The Elements of Euclid: The Errors, by which Theon, Or Others, Have Long Ago ...

Robert Simson - 1762 - 466 páginas
...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 páginas
...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 - 1775 - 520 páginas
...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 - 1795 - 400 páginas
...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 - 1799 - 351 páginas
...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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## The Elements of Euclid: Also the Book of Euclid's Data ...cor. viz. The ...

Robert Simson - 1804
...&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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## Elements of Geometry: Containing the First Six Books of Euclid, with a ...

John Playfair - 1806 - 311 páginas
...DEF, as in the first case. Therefore, if two triangles, &c. QED PROP. 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 triangle, and to each other* Let ABC be a right angled triangje, having...
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## The Elements of Euclid: Viz. the First Six Books, Together with the Eleventh ...

Euclid, Robert Simson - 1806 - 518 páginas
...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 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...
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## Pantologia. A new (cabinet) cyclopædia, by J.M. Good, O. Gregory ..., Volumen5

John Mason Good - 1813
...have those angles equal about which the sities are proportionals. Prop. VllI.Thcor. 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. Prop. IX. Prob. From a given strait line...
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## The Elements of Euclid: Viz. the First Six Books, Together with the Eleventh ...

Euclides - 1816 - 528 páginas
...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 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...
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