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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 ... - Σελίδα 281
των Euclid - 1751 - 384 σελίδες
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...either acute or obtufe, (for it was a right angle in the foregoing Propofction.) Let it be in the firft place acute, and from the point A let AD be drawn...given : But the angle B is alfo given ; and therefore ths third angle BAH is given : Wherefore a 40. prop . " the triangle ABD is given by kind ; and b j....

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...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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...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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...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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...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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...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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...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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...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...

Euclid's Elements of geometry [book 1-6, 11,12] with explanatory notes ...

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...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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...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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