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" 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 of these sides, and the straight line intercepted between the perpendicular... "
Lessons on Form: Or, An Introduction to Geometry, as Given in a Pestalozzian ... - Page 139
by Charles Reiner - 1837 - 215 pages
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Pure mathematics, Volume 1

Edward Atkins - 1874 - 426 pages
...square on the side subtending an acute angle is less than the squares on the sides containing that angle, by twice the rectangle contained by either...straight line intercepted between the perpendicular let fall on it from the opposite angle and the acute angle. Let ABC be any triangle, and the angle...
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A school Euclid, being books i. & ii. of Euclid's Elements, with notes by C ...

Euclides - 1874 - 120 pages
...square on the side subtending an acute angle, is less than the squares on the sides containing that angle, by twice the rectangle contained by either...straight line intercepted between the perpendicular let fall on it from the opposite angle, and the acute angle. j Q Let ABC be any triangle, and the angle...
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The Elements of Euclid, containing the first six books, with a selection of ...

Euclides - 1874 - 342 pages
...the side subtending either of the acute angles, is less than the squares on the sides containing that angle, by twice the rectangle contained by either...sides, and the straight line intercepted between the acute angle and the perpendicular let fall upon it from the opposite angle. Let ABC be any triangle,...
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Pure mathematics, Volume 1

Edward Atkins - 1874 - 428 pages
...square on the side subtending an acute angle is less t/ian the squares on the sides containing that angle, by twice the rectangle contained by either of these sides, and llw straight line intercepted between the perpendicular let fall on it from the opposite angle and...
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Elements of geometry, based on Euclid, books i-iii

Edward Atkins - 1876 - 130 pages
...square on the side subtending an acute angle is less than the squares on the sides containing that angle, by twice the rectangle contained by either...straight line intercepted between the perpendicular let fall on it from the opposite angle and the acute angle. Let ABC be any triangle, and the angle...
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The Pupil teacher, a monthly educational journal. H. Major, ed

Henry Major - 1876 - 784 pages
...the side subtending either of the acute angles is less than the squares on the sides containing that angle by twice the rectangle contained by either of...sides, and the straight line intercepted between the acute angle and the perpendicular let fall upon it from the opposite angle. -, «• r, 1. Simplify...
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Examination Christmas,1875

Education Department,London - 1876 - 1010 pages
...the aide subtending either of the acute angles is less than the squares on the sides containing that angle by twice the rectangle contained by either of...sides and the straight line intercepted between the acute angle and the perpendicular let fall upon it from the opposite angle. 2. In any circle only two...
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Euclid's Elements of Geometry: Chiefly from the Text of Dr. Simson, with ...

Robert Potts - Geometry - 1876 - 446 pages
...either of the acute angles, is less than the squares on the sides containing that angle, by tvtiet the rectangle contained by either of these sides, and the straight line intere cepted between the acute angle and the perpendicular let fall upon it from the opposite angle,...
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Solutions to the mathematical examination papers set for admission to the ...

D. Tierney - 1877 - 126 pages
...the side subtending either of the acute angles is less than the squares on the sides containing that angle, by twice the rectangle contained by either...sides and the straight line intercepted between the acute angle and the perpendicular let fall upon it from the opposite angle. Euclid, Book II., Prop....
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The elements of plane geometry, from the Sansk. text of Ayra Bhatta, ed. by ...

Āryabhaṭa - 1878 - 100 pages
...side subtending either of the acute angles, is less than the squares of the sides contain' ing that angle, by twice the rectangle contained by either...sides, and the straight line intercepted between the acute angle and the perpendicular drawn to it from the opposite angle. Let BCD be a triangle (above...
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