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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 Element of Geometry

John Playfair - Geometry - 1836 - 148 pages
...drawn through the given point A, parallel to the given point BC. Which was to be done. PROP. V. 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 any of its sides BC be produced to D ; the...
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The Teacher's Assistant in the "Course of Mathematics Adapted to the Method ...

Mathematics - 1836 - 488 pages
...XXX. Straight lines which are parallel to the same straight line are parallel to one another. XXXII. If a side of any triangle be produced, the exterior angle is equal to the two interior and op. posite angles ; and the three interior angles of every triangle are equal to two right angles....
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Elements of Geometry: Containing the First Six Books of Euclid, with a ...

John Playfair - Euclid's Elements - 1836 - 488 pages
...be done. x'i PROP. XXXII. THEOR. If a side of any trin iglc be produced, the exterior angle is e^ual to the two interior and opposite angles ; 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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A companion to Euclid: being a help to the understanding and remembering of ...

Euclides - Euclid's Elements - 1837 - 112 pages
...line / through a given point parallel to a g - f, given straight line. PROPOSITION XXXII. Theorem. If a side of any triangle be produced, the exterior...and the three interior angles of every triangle are equal to two right angles. Steps of the Demonstration. 1. Prove that the altern. Z BAC = alternate...
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The First Six and the Eleventh and Twelfth Books of Euclid's Elements: With ...

Euclid, James Thomson - Geometry - 1837 - 410 pages
...line equal to that which is described by either extremity of the base.* BOOK I. PROP. XXXII. THEOR. 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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Elements of Geometry: Containing the First Six Books of Euclid : with a ...

John Playfair - Euclid's Elements - 1837 - 332 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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Lessons on Form: Or, An Introduction to Geometry, as Given in a Pestalozzian ...

Charles Reiner - Geometry - 1837 - 246 pages
...the exterior angle is greater than either of the interior and opposite angles. 7. If one side of a triangle be produced, the exterior angle is equal to the two interior and opposite angles. 8. If each of the sides of a triangle be produced, the three exterior angles are, together, equal to...
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Elements of Plane Geometry According to Euclid

Andrew Bell - Euclid's Elements - 1837 - 290 pages
...A parallel to the given straight line BC. PROPOSITION XXXII. THEOREM. If a side of any triangle he produced, the exterior angle is equal to the two interior and opposite angles ; and vie three interior angles of every triangle are equal to two right angles. Let ABC he a triangle, and...
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Euclid's Elements [book 1-6] with corrections, by J.R. Young

Euclides - 1838 - 264 pages
...the given point A, parallel to the given straight line BC. Which was to be 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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The Elements of Euclid

Euclid - Geometry - 1838 - 470 pages
...given point A parallel to the given straight line BC. Which was to be done. PROP. XXXII. THEOR. Ir a side of any triangle be produced, the exterior angle...and the three interior angles of every triangle are equal to two right angles. ROOK I. triangle, viz. ABC, BCA, CAB, are together equal to two right angles....
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