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" In every triangle the sum of the three angles is equal to two right angles. "
Elements of Geometry - Σελίδα 203
των Adrien Marie Legendre - 1819 - 208 σελίδες
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A Manual of Surveying for India, Detailing the Mode of Operations on the ...

Sir Henry Edward Landor Thuillier - 1851 - 826 σελίδες
...triangle, if either acute angle be taken from 90°, the remainder will express the other acute angle. 4. The sum of the three angles is equal to two right angles. 5. The greater side is opposite the greater angle, and the less side to the less angle. 6. The sum...

Elements of Geometry and Trigonometry

Adrien Marie Legendre - 1852 - 436 σελίδες
...but DEF is equal to BAC: hence, DEH '+ BAC is equal .to two right angles. PROPOSITION XXV. THEOEEM. In every triangle the sum of the three angles is equal to two right angles. Let ABC be any triangle : then will the sum of the angles 0+A+B be equal to two right angles. For,...

Elements of Geometry and Trigonometry from the Works of A.M. Legendre ...

Charles Davies - 1854 - 436 σελίδες
...1) ; but DEF is equal to BAC: hence, DEH+BAC is equal to two right angles. PROPOSITION XXV. THEOREM. In every triangle the sum of the three angles is equal to two right angles. Let ABC be any triangle : then will the sum of the angles C+A+B be equal to two right angles. For,...

Elements of Geometry and Trigonometry: With Applications in Mensuration

Charles Davies - 1855 - 340 σελίδες
...the sum of the two angles, A and f), is equal to the outward angle CBD (Ax- 1)- r THEOREM XVIIIn any triangle the sum of the three angles is equal to two right anglesLet ABC be any triangle : then will the sum of the three angles A+5+C=two right anglesFor, let...

Humanics

Thomas Wharton Collens - 1860 - 382 σελίδες
...not have found it on the track, and could not have secured it. Take, for instance, the theorem : " In every triangle the sum of the three angles is equal to two right angles," and see how many different facts must be brought to bear, and how many distinct definitions, axioms,...

Plane and Solid Geometry: To which is Added Plane and Spherical Trigonometry ...

George Roberts Perkins - 1860 - 472 σελίδες
...equal to twice as many right angles as the polygon has sides, wanting four right angles. Cor. I. In any triangle, the sum of the three angles is equal to two right angles. x Cor. II. If one angle of a triangle is a right angle, as in the case of a right-angled triangle (D....

Elements of Geometry, and Plane and Spherical Trigonometry: With Numerous ...

Horatio Nelson Robinson - 1860 - 470 σελίδες
...is For any other radius we must write cos. ^ PC By inference, cos. \B = \f R's (s % Also, 008.1(7= In every triangle, the sum of the three angles is equal to 180° ; and if one of the angles is small, the other two must be comparatively large ; if two of them...

Elements of Geometry and Trigonometry: With Practical Applications

Benjamin Greenleaf - 1862 - 518 σελίδες
...the two interior and opposite angles CAB, ABC (Art. 34, Ax. 2). PROPOSITION XXVIII. — THEOREM. 95. In every triangle the sum of the three angles is equal to two right angles. Let ABC be any triangle ; A then will the sum of the angles ABC, BCA, CAB be equal to two right angles....

Elements of Plane and Spherical Trigonometry: With Practical Applications

Benjamin Greenleaf - 1861 - 638 σελίδες
...the two interior and opposite angles CAB, ABC (Art. 34, Ax. 2). PROPOSITION XXVIII. — THEOREM. 95. In every triangle the sum of the three angles is equal to lira right angles. Let ABC be any triangle; then will the sum of the angles ABC, EGA, CAB be equal...

Elements of Geometry: With Practical Applications to Mensuration

Benjamin Greenleaf - 1863 - 504 σελίδες
...the two interior and opposite angles CAB, ABC (Art. 34, Ax. 2). PROPOSITION XXVIII. — THEOREM. 95. In every triangle the sum of the three angles is equal to two right angles. Let ABC be any triangle ; A then will the sum of the angles ABC, BCA, CAB be equal to two right angles....




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