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" If one side of a triangle is produced, the exterior angle is equal to the sum of the two interior and opposite, angles; and the three interior angles of every triangle are equal to two right angles. "
Elements of Geometry, and Plane and Spherical Trigonometry: With Numerous ... - Σελίδα 29
των Horatio Nelson Robinson - 1865 - 444 σελίδες
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First Lessons in Plane Geometry: Together with an Application of Them to the ...

Francis Joseph Grund - 1830 - 255 σελίδες
...angles in a triangle is equal to two right angles. 16. If one of the sides of a triangle is extended, the exterior angle is equal to the sum of the two interior opposite angles. 17. The exterior angle is greater than any one of the interior opposite angles. 18. If two angles of...

Geometry Without Axioms; Or the First Book of Euclid's Elements. With ...

Thomas Perronet Thompson - 1833 - 150 σελίδες
...demonstrated by Euclid till Book XI. PROPOSITION XXXI. THEOREM. — If a side of any triangle be prolonged, the exterior angle is equal to the sum of the two interior and opposite angles. Let ABC be a triangle, and let one of its sides, as BC, be produced to D. The...

An Elementary Treatise on Geometry: Simplified for Beginners Not ..., Μέρος 1

Francis Joseph Grund - 1834 - 190 σελίδες
...angles in any triangle, is equal to two right angles. 16. If one of the sides of a triangle is extended, the exterior angle is equal to the sum of the two interior opposite angles. 17. The exterior angle is greater than either of the interior opposite ones. 18. If two angles of a...

Elements of Geometry: With Practical Applications ...

George Roberts Perkins - 1847 - 308 σελίδες
...angles (33), it will be necessary to modify somewhat this method. PROPOSITION XXV. THEOREM. When one side of a triangle is produced, the exterior angle is equal to both the interior and opposits angles taken together. Let the side AB of the triangle ABC be produced,...

Elements of Geometry and Conic Sections

Elias Loomis - 1849 - 226 σελίδες
...parallel to those of the angle BAC; but the two angles are not equal. PROPOSITION XXVII. THEOREM. If one side of a triangle is produced, the exterior angle is equal to the sum of the two interior and opposite, angles; and the three interior angles of every triangle are equal to two right angles....

Register

University of Cambridge - 1849
...triangle, the sides of which shall be each equal to twice the base. 2. If a side of any triangle be produced, the exterior angle is equal to the sum of the two interior and opposite angles ; and the three interior angles of every triangle are together equal to two right...

Elements of Geometry: With, Practical Applications

George Roberts Perkins - 1850 - 320 σελίδες
...angles (40,) it will be necessary to modify somewhat this method. PROPOSITION xxv. THEOREM. When one side of a triangle is produced, the exterior angle is equal to both the interior and opposite angles taken together. For, conceive BF to be drawn parallel to AC ;...

A collection of problems and examples, adapted to the "Elementary course of ...

Harvey Goodwin - 1851 - 173 σελίδες
...triangle, the sides of which shall be each equal to twice the base. 2. If a side of any triangle be produced, the exterior angle is equal to the sum of the two interior and opposite angles ; and the three interior angles of every triangle are together equal to two right...

PLANE AND SOLID GEOMETRY

GEORGE R. PERKINS - 1856
...sum of A and C, together with the same angle CBA, is also equal to two right angles (TV, CI) ; hence, the exterior angle is equal to the sum of the two interior and opposite angles. Cor. The exterior angle is greater than either of the interior and opposite angles....

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

George Roberts Perkins - 1860 - 443 σελίδες
...sum of A and C, together with the same angle CBA, is also equal to two right angles (TV, CI) ; hence, the exterior angle is equal to the sum of the two interior and opposite angles. Cor. The exterior angle is greater than either of the interior and opposite angles....




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