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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 Cambridge Examiner - Сторінка 165
1884
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Elements of Geometry: Containing the First Six Books of Euclid : with a ...

John Playfair - 1832 - 358 стор.
...point A parallel to the given straight line BC. Which was to be done. PROP. XXXII. THEOR. If aside of any triangle be produced, the exterior angle is...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...
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Elements of Geometry: Containing the First Six Books of Euclid, with a ...

John Playfair - 1833 - 346 стор.
...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...angle is equal to the two interior and opposite angles ; anS- the three interior angles of every triangle are equal to two right angles. Let ABC be a triangle,...
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The Elements of Euclid: Viz. the First Six Books, Together with the Eleventh ...

Euclid - 1835 - 540 стор.
...given point A parallel to the given ^-Y"**' straight line BC. Which was to be done. PROP. XXXII. THEOR. If a side of any triangle be produced, the exterior...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...
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Elements of Geometry: Containing the First Six Books of Euclid, with a ...

John Playfair - 1835 - 336 стор.
...equal to it. In that case, CAI and EDF would be together equal to two right angles. PROP. XXV. THEOR. If a side of any triangle be produced, the exterior...equal to the two interior and opposite angles ; and (he three interior angles of every triangle are equal to two right angles. Let ABC be a triangle, and...
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Library of Useful Knowledge: Geometry plane, solid, and spherical [by Pierce ...

1835 - 684 стор.
...(o) The three angles of a triaugle are together equal to two right angles; and if one of the sides be produced, the exterior angle is equal to the two interior and opposite angles . 14 (/>) In a right angled triaugle — 1. One of the angles, viz. the right angle, is equal to the...
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The Element of Geometry

John Playfair - 1836 - 148 стор.
...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...opposite angles ; 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...
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The Teacher's Assistant in the "Course of Mathematics Adapted to the Method ...

1836 - 488 стор.
...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 - 1836 - 488 стор.
...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...
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A companion to Euclid: being a help to the understanding and remembering of ...

Euclides - 1837 - 112 стор.
...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...opposite angles ; and the three interior angles of every triangle are equal to two right angles. Steps of the Demonstration. 1. Prove that the altern....
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The First Six and the Eleventh and Twelfth Books of Euclid's Elements: With ...

Euclid, James Thomson - 1837 - 410 стор.
...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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