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" IF a side of any triangle be produced, the exterior angle is equal to the two interior and opposite angles ; and the three interior angles of every triangle are equal to two right angles. "
The College Euclid: Comprising the First Six and the Parts of the Eleventh ... - Page 310
by Euclides - 1865
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The figures of Euclid with the enunciations, as printed in Euclid's Elements ...

Euclides - 1840 - 82 pages
...the external angle is equal to the two internal remote angles taken together: and the three internal angles of every triangle, are together equal to two right angles. COR. 1.—If two triangles have two angles in the one, together equal to two angles in the other, they have...
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The Elements of Euclid; viz. the first six books,together with the eleventh ...

Euclides - Geometry - 1841 - 378 pages
...given point A, parallel to the given straight line BC. Which was to he done. . PROP. XXXII. THEOR. If a side of any triangle be produced, the exterior...and the three interior angles of every triangle are equal to two right angles. Let ABC be a triangle, and let one of its sides BC be produced to D; the...
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Elements of Geometry: Containing the First Six Books of Euclid, with a ...

John Playfair - Euclid's Elements - 1842 - 332 pages
...EAF is drawn through the given point A parallel to the given straight line BC. PROP. XXXII. THEOR. If a side of any triangle be produced, the exterior...and the three interior angles of every triangle are equal to two right angles. Let ABC be a triangle, and let one of its sides BC be produced to D ; the...
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Elements of geometry: consisting of the first four,and the sixth, books of ...

Euclides - 1842 - 316 pages
...is drawn through the given point A parallel to the given straight line в c. QEF PROP. XXXII. THEOR. IF a side of any triangle be produced, the exterior...and the three interior angles of every triangle are equal to two right angles. Let ABC be a triangle, and let one of its sides, вc be produced to D; the...
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Proceedings

Scotland free church, gen. assembly - 1847 - 554 pages
...FIRST CLASS-GEOMETRY. 1. The greater side of every triangle has the greater angle opposite to it. 2. The three interior angles of every triangle are together equal to two right angles. 3. Parallelograms upon equal bases, and between the same parallels, are equal. 4. If a straight line...
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The history of literature; or, The rise and progress of language ..., Volume 1

sir William Cathcart Boyd - 1843 - 444 pages
...solid to four. Of the geometrical theorems ascribed to him, the following are the principal : that the interior angles of every triangle are together equal to two right angles ; that the only polygons which will fill up the whole space about a given point, are the equilateral...
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Elements of Geometry: Containing the First Six Books of Euclid, with a ...

John Playfair - Euclid's Elements - 1844 - 338 pages
...angles ACD, ACB are equal (13. 1.) to two right angles ; therefore also the angles CBA, BAC, ACB are equal to two right angles. COR. 1. All the interior angles of any rectilineal figure are equal to twice as many right angles as the figure has sides, wanting four right angles. For any...
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Euclid in Paragraphs: The Elements of Euclid: Containing the First Six Books ...

Euclid - Geometry - 1845 - 218 pages
...point A parallel to the given straight line BC. Which was to be done. PROPOSITION XXXII. THEOR. — If a side of any triangle be produced, the exterior...and the three interior angles of every triangle are equal to two right angles. Let ABC be a triangle, and let one of its sides BC be produced to D ; the...
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The First Six, and the Eleventh and Twelfth Books of Euclid's Elements: With ...

Euclid, James Thomson - Geometry - 1845 - 382 pages
...straight line equal to that which is described by eitner extremity of the base.* BOOK I. PKOP. XXXII.— If a side of any triangle be produced, the exterior angle is equal to the two interior and remote angles ; and the three interior angles of every triangle are together equal to two right angles....
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Euclid's Elements of geometry [book 1-6, 11,12] with explanatory notes ...

Euclides - 1845 - 546 pages
...been drawn a straight line EAF parallel to the given straight line BC. QEF PROPOSITION XXXII. THEOREM. If a side of any triangle be produced, the exterior angle is equal to the Iwo interior and opposite angles; and Ihe three interior angles of every triangle are together equal...
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