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" In right angled triangles, the rectilineal figure described upon the side opposite to the right angle, is equal to the similar, and similarly described figures upon the sides containing the right angle. "
The Elements of Euclid: The Errors, by which Theon, Or Others, Have Long Ago ... - Side 191
av Robert Simson - 1806 - 518 sider
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A Royal Road to Geometry: Or, an Easy and Familiar Introduction to the ...

Thomas Malton - 1774 - 440 sider
...is defcribed on the Side fubtending the Right Angle, will be equal to both the others, defcribed on the Sides containing the Right Angle. Let ABC be a Right angled — - ----- \ Triangle; and, letX, Y, and Z be fimilar, irregular Pentagons, . defcribed on the three Sides, AB, BC, and AC,...
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The Elements of Euclid, Viz: The Errors, by which Theon, Or Others, Have ...

Robert Simson - 1775 - 520 sider
...the bafe ; the triangles on each fide of it are fimilar 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 let AD be drawn perpendicular to the bafe BC : The triangles ABD, ADC are fimilar...
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The First Six Books: Together with the Eleventh and Twelfth

Euclid - 1781 - 520 sider
...the bafe ; the triangles on each fide of it arc firnilar 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 let AD be drawn perpendicular to the bafe BC : The triangles ABD, ADC are fimilar...
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The Elements of Euclid: With Dissertations Intended to Assist and Encourage ...

Euclid, James Williamson - 1781 - 309 sider
...fide fubtending the right angle is equal to the figures fimilar and fimilarly defcribed upon the fides containing the right angle. Let ABC be a right angled triangle, having BAC a right angle: Book vi. I fay that the figure defcribed upon BC is equal to the firnilar and "—v—»...
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Elements of Geometry: Containing the First Six Books of Euclid, with Two ...

John Playfair - 1795 - 400 sider
...the fide fubtending the right angle, is equal to the fquares defcribed upon the fides 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 defcribe a...
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The Elements of Euclid: Viz. the First Six Books, with the Eleventh and ...

Alexander Ingram - 1799 - 351 sider
...the bafe ; the triangles on each fide of it are fimilar 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 let AD be drawn perpendicular to the bafe BC : The triangles ABD, ADC are fimilar...
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The Elements of Euclid: Also the Book of Euclid's Data ...cor. viz. The ...

Robert Simson - 1804
...oppofite to the right angle, 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 EAC. the rectilineal figure defcribed upon BC is equal to the fimilar and fimilarly defcribed figures...
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Elements of Geometry;: Containing the First Six Books of Euclid, with a ...

Euclid, John Playfair - 1804 - 440 sider
...the bafe ; 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 ; and from the point A let AD be drawn perpendicular to the bafe BC : the triangles ABD, ADC are fimilar...
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Elements of Geometry: Containing the First Six Books of Euclid, with a ...

John Playfair - 1806 - 311 sider
...Which was to be done. PROP. XXXI. THEOR. IN right angled triangles the rectilineal figure described upon %the side opposite to the right angle is equal...figures upon the sides containing the right angle. a 8. 6. b4. 6. c 2. Cor. 20.6 Let ABC be a right angled triangle, having the right angle BAC ; the...
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The Elements of Euclid: Viz. the First Six Books, Together with the Eleventh ...

Euclides - 1816 - 528 sider
...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 let AD be drawn perpendicular to the base BC : The triangles ABD, ADC are similar...
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