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" ... which, when produced, the perpendicular falls, and the straight line intercepted, without the triangle, between the perpendicular and the obtuse angle. Let ABC be an obtuse-angled triangle, having the obtuse angle ACB, and from the point A let AD... "
Euclide's Elements: The Whole Fifteen Books Compendiously Demonstrated. With ... - Page 406
by Euclid, Isaac Barrow - 1714 - 520 pages
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Euclide's Elements: The Whole Fifteen Books Compendiously Demonstrated ...

Euclid, Isaac Barrow - Euclid's Elements - 1732 - 436 pages
...the given angle B is either acute or obtufe, (for it was a right angle in the foregoing propofition.) Let it be in the firft place acute, and from the point A let AD be drawn perpendicular to BC. Demonfr. Therefore the angle ADB is given : But the angle B is alfo given ; and therefore the third...
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Euclide's Elements: The Whole Fifteen Books Compendiously Demonstrated: with ...

Euclid - Euclid's Elements - 1751 - 420 pages
...either acute or obtufe, (for it was a right-angle in the foregoing propofition.) Let it be in the firit place acute, and from the point A let AD be drawn...given : But the angle B is alfo given ; and therefore the third angle BAD is given : Wherefore (a) the triangle ABD is given a 40. prop. in kind j and therefore...
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The Elements of Euclid: The Errors, by which Theon, Or Others, Have Long Ago ...

Robert Simson - Trigonometry - 1762 - 488 pages
...perpendicular and the obtufe angle. Let ABC be an obtufe angled triangle, having the obtufe angle ACB, and from the point A let AD be drawn • perpendicular to BC produced, the fquare of AB is greater than the fquares of AC, CB by twice the rectangle BC, CD. Becaufe...
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The Elements of Euclid: Viz. the First Six Books, Together with the Eleventh ...

Euclides - 1816 - 588 pages
...perpendicular and the obtuse angle. : ABC be an obtuse angled triangle, having the obtuse angle ACS, and from the .point A. let AD be drawn" • perpendicular to BC produced : The square of AB is greater than the squares of AC, CB, by twice the rectangle BC, CD. Because...
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The Elements of Euclid: The Errors by which Theon, Or Others, Have Long ...

Robert Simson - Trigonometry - 1827 - 546 pages
...perpendicular and the obtuse angle. Let ABC be an obtuse angled triangle, having the obtuse angle ACB, and from the point A let AD be drawn* perpendicular to BC produced : the square of * 12. 1. AB shall be greater than the squares of AC, CB by twice the rectangle...
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Elements of Plane Geometry According to Euclid

Andrew Bell - Euclid's Elements - 1837 - 290 pages
...perpendicular and the obtuse angle. Let ABC be an obtuse-angled triangle, having the obtuse angle ACB, and from the point A let AD be drawn perpendicular to BC produced (1. 12) ; the square of AB is greater than the squares of AC, CB, by twice the rectangle BC-CD....
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Euclid's Elements [book 1-6] with corrections, by J.R. Young

Euclides - 1838 - 264 pages
...perpendicular and the obtuse angle. Let ABC be an obtuse angled triangle, having the obtuse ,12 1 angle ACB, and from the point A let AD be drawn* perpendicular to BC produced : the square of AB shall be greater than the squares of AC, CB, by twice the rectangle BC-CD....
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The Elements of Euclid; viz. the first six books,together with the eleventh ...

Euclides - Geometry - 1841 - 378 pages
...intercepted without the triangle between the perpendicular and the obtuse angle. obtuse angle ACB, and from the point A let AD be drawn* perpendicular to BC produced: the square of* 12 . 1. AB shall be greater than the squares of AC, CB, by twice the rectangle...
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Euclid's Elements of geometry [book 1-6, 11,12] with explanatory notes ...

Euclides - 1845 - 546 pages
...perpendicular and the obtuse angle. Let ABC be an obtuse-angled triangle, having the obtuse angle ACB, and from the point A let AD be drawn perpendicular to BC produced. Then the square of AB shall be greater than the squares of AC, CB, by twice the rectangle...
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The Elements of Euclid, the parts read in the University of Cambridge [book ...

Euclides - 1846 - 292 pages
...perpendicular and the obtuse angle. Let ABC be an obtuse-angled triangle, having the obtuse angle ACB, and from the point A let AD be drawn perpendicular to BC produced : the square of AB is greater than the squares of AC, CB, by twice the rectangle BC, CD. Because...
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