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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 John Playfair, Euclid - 1804 - 440 páginas
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Elements of Geometry: Containing the First Six Books of Euclid: With a ...

John Playfair - 1819 - 354 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...be a right angled triangle, having the right angle BAG : and from the point A let AD be drawn perpendicular to the base BC • th« triangles ABD, ADC...
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The Elements of Euclid: Viz. the First Six Books, Together with the Eleventh ...

Euclid, Robert Simson - 1821 - 514 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...be a right angled triangle, having the right angle B AC; and from the point A let AD be drawn perpendicular to the base BC: the triangles A BD, ADC are...
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A Treatise on Practical Mensuration in Eight Parts ...

Anthony Nesbit - 1824 - 476 páginas
...is to AC, asAptoAE. (Euc. VI. 4. Simp. IV. 12. Em. II. 13.; THEOREM XII. Let ABC be a right-angled triangle, having the right angle BAC; and from the point A let AD be drawn perpendicularly to the base BC ; the triangles ABD, ADC are similar to the whole triangle ABC, and...
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A Popular Course of Pure and Mixed Mathematics ...: With Tables of ...

Peter Nicholson - 1825 - 1046 páginas
...hole triangle, and to one another. LetABC be a right angled triangle, having the right angle ВАС ; and from the point A let AD be drawn perpendicular to the base BC : The trianpied ABD, ADC are similar to the whole triangle ABC, and to one another. 1.) Therefore...
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Elements of Geometry, Containing the First Six Books of Euclid

Euclid - 1826 - 234 páginas
...subtending the right angle is equal to the squares described on the sides containing the right angle. Let ABC be a right angled triangle, having the right angle BAC. The square described upon the right line вс is equal to the squares described on the sides BA, CA....
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Euclid's Elements of geometry, transl. To which are added, algebraic ...

Euclides - 1826 - 226 páginas
...subtending the right angle is equal to the squares described on the sides containing the right angle. Let ABC be a right angled triangle, having the right angle BAC. The square described upon the right line вс is equal to the squares described on the sides BA, CA....
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The Elements of Euclid: The Errors by which Theon, Or Others, Have Long ...

Robert Simson - 1827 - 546 páginas
...is equal to the similar and similarly described Jigurcs 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 shall be equal to the similar and similarly described figures...
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Elements of Geometry: Being Chiefly a Selection from Playfair's Geometry

John Playfair - 1829 - 210 páginas
...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 perp. to the hypothenuse BC; the triangles ABD, ADC are similar to the whole triangle ABC, and to each...
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Elements of Geometry: Containing the First Six Books of Euclid, with a ...

John Playfair - 1833 - 346 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 be a right angled triangle, having the right angte BAG ; and from the point A let AD be drawn perpendicular to the base BC: the triangles ABD, ADC...
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The Elements of Euclid; viz. the first six books, together with the eleventh ...

Euclides - 1834 - 518 páginas
...the triangle DEF. Wherefore, if two triangles, &c. QED PROPOSITION VIII. Let ABC be n right-angled triangle, having the right angle BAC ; and from the point A, let AD be drawn perpendicular to the base BC : the triangles ABD, ADC shall be similar to the whole triangle ABC, and to one another. t...
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