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Therefore, in obtuse-angled triangles, &c. QED PROP. XIII. THEOREM. In every triangle, the square of the side subtending either of the acute angles is less than the squares of the sides containing that angle, by twice the rectangle contained by either...
Elements of Geometry: Containing the First Six Books of Euclid, with a ... - Σελίδα 63
των John Playfair - 1806 - 311 σελίδες
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## The Elements of Euclid: The Errors, by which Theon, Or Others, Have Long Ago ...

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...fides, and the ftraight line intercepted between the perpendicular let fall upon it from the oppofite angle, and the acute angle. Let ABC be any triangle,...B one of its acute angles, and upon BC one of the fides containing it let fall the perpen< dicular * AD from the oppofite angle, the fquare of AC oppofite...

## The Elements of Euclid, Viz: The Errors, by which Theon, Or Others, Have ...

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...fides, and the ftraight line intercepted between the perpendicular let fall upon it from the oppofite angle, and the acute angle. Let ABC be any triangle,...B one of its acute angles, and upon BC, one of the fides containing it, let fall the perpendicular a AD from the -oppofite -angle : The fquare of AC,...

## The First Six Books: Together with the Eleventh and Twelfth

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...fides, and the ftraight line intercepted between the perpendicular let fall upon it from the oppofite angle, and the acute angle. Let ABC be any triangle, and the angle at B one of its cute angles, and upon BC, one of the fides containing it, let fall the perpendicular * AD from the...

## The Elements of Euclid: Viz. the First Six Books, with the Eleventh and ...

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## The Elements of Euclid: Also the Book of Euclid's Data ...cor. viz. The ...

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## Pantologia. A new (cabinet) cyclopædia, by J.M. Good, O. Gregory ..., Τόμος 5

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...the acute angles, is less than the squares of the sides containing that angle, by twice the rectangle contained by either of these sides, and the straight...upon it from the opposite angle, and the acute angle. Prop. XIV. Prob. To describe a square that shall be equal to a given rectilineal figure. Book III....

## The Elements of Euclid: Viz. the First Six Books, Together with the Eleventh ...

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...than the squares of the fides containing that angle, by twice the rectangle contained by either ot these sides, and the straight line intercepted between the perpendicular let fall upon it from ttie opposite angle, and the acute angle. Let ABC be any triangle, and the angle at B one of its acute...

## An Elementary Treatise on the Geometrical and Algebraical Investigation of ...

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...of the base of an isosceles triangle is the double of the rectangle contained by either side, and by the straight line intercepted between the perpendicular,...let fall upon it from the opposite angle, and the extremity of the base. (XIV.) If from any point, in the circumference of the greater of two given concentric...

## A Supplement to the Elements of Euclid

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...angle, by twice the rectangle contained by eithei of these sides, and the straight line ¡ntercepuJ between the perpendicular let fall upon it from the opposite angle, and the acute angle. Prop. XIV. Prob. To describe a square that shall be equal to a civen rectilineal figure. Book III....