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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. Let ABC be a right angled triangle, having the right angle BAC ; and from... "
Elements of Geometry;: Containing the First Six Books of Euclid, with a ... - Página 166
por Euclid, John Playfair - 1804 - 440 páginas
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The Elements of Euclid: The Errors, by which Theon, Or Others, Have Long Ago ...

Robert Simson - 1762 - 466 páginas
...fubtending the right angle, is equal to the fquares defcribed upon the lides which contain the right angle. Let ABC be a right angled triangle having the right angle BAC; the fquare defcribed upon the fide BC, is equal to the fquares defcribed upon BA, AC. ' On BC defciibe...
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The Elements of Euclid, Viz: The Errors, by which Theon, Or Others, Have ...

Robert Simson - 1775 - 520 páginas
...the right angle, is. equal to the fquares deferibed upon the fides which con-- tain the right angle. Let ABC be a right angled triangle having the right angle BAC ; the fquare deferibed upon the fide BC is equal to the fquares deferibed upon BA, AC 4f- 1• On BCdeferibe*...
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The Elements of Euclid: The Errors, by which Theon, Or Others, Have Long Ago ...

Robert Simson - 1781 - 466 páginas
...the triangles on each fide of it are limilar to the whole triangle, and to one another. Let ABC.be a right angled triangle having the right angle BAC...point A let AD be drawn perpendicular to. the bafe EC. the triangles ABD, ADC are fimilar to the whole triangle ABC, and to one another. Becaufe the angle...
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The Elements of Euclid: With Dissertations Intended to Assist and Encourage ...

Euclid, James Williamson - 1781 - 309 páginas
...perpendicular be drawn from the right angle to the bafe ; the triangles at the perpendicular are fimilar to the whole triangle and to one another. Let ABC be a right angled triangle, having the angle BAC a right angle ; and let AD be drawn from the point A perpendicular to BC : I fay that each...
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The First Six Books: Together with the Eleventh and Twelfth

Euclid - 1781 - 520 páginas
...is equal to the fimilar, and fimilarly defcribed figures upon the fides containing the right angle. Let ABC be a right angled triangle, having the right angle BAC : The rectilineal figure defcribed upon BC is equal to the fimilar, and fimilarly defcribed figures...
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The Elements of Euclid: Viz. the First Six Books, with the Eleventh and ...

Alexander Ingram - 1799 - 351 páginas
...is equal to the fimilar, and fimilarly defcribed figures upon the fides containing the right angle. Let ABC be a right angled triangle, having the right angle BAC : The rectilineal figure defcribed upon BC is equal to the fimiiar and fimilarly defcribed figures...
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The Elements of Euclid: Also the Book of Euclid's Data ...cor. viz. The ...

Robert Simson - 1804
...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 ABC be a right angles! triangle having the right angle BAC ; and from the point A let AD be dfawn perpendicular to...
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The Elements of Euclid: The Errors, by which Theon, Or Others, Have Long Ago ...

Robert Simson - 1806 - 518 páginas
...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...from the point A let AD be drawn perpendicular to the base BC : the triangles ABD, ADC are similar to the whole triangle ABC, and to one another. Because...
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The Elements of Euclid: Viz. the First Six Books, Together with the Eleventh ...

Euclides - 1816 - 528 páginas
...is equal to the similar and similarly described figures upon the sides containing the right angle. Let ABC be a right angled triangle, having the right angle BAC : The rectilineal figure described upon BC is equal to the similar and similarly described figures...
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Elements of Geometry: Containing the First Six Books of Euclid, with a ...

John Playfair - 1819 - 333 páginas
...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...from the point A let AD be drawn perpendicular to the base-BC : the triangles ABD, ADC are similar to the whole triangle ABC, and to one another. Because...
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