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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. "
Report on the examination for admission to the Royal military academy at ... - Pagina 19
di Woolwich roy. military acad - 1861
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Library of Useful Knowledge: Geometry, plane, solid, and spherical [by ...

1835
...(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 - 114 pagine
...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...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 exterior angle ACD is equal...
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Elements of Geometry: Containing the First Six Books of Euclid, with a ...

John Playfair - 1836 - 471 pagine
...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...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 exterior angle ACD is equal...
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The Teacher's Assistant in the "Course of Mathematics Adapted to the Method ...

1836 - 472 pagine
...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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A companion to Euclid: being a help to the understanding and remembering of ...

Euclides - 1837 - 88 pagine
...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...angles of every triangle are equal to two right angles. Steps of the Demonstration. 1. Prove that the altern. Z BAC = alternate Z ACE, And since AB, CD are...
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Elements of Geometry: Containing the First Six Books of Euclid : with a ...

John Playfair - 1837 - 318 pagine
...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...interior angles of every triangle are equal to two rightfmgles. Let ABC be a triangle, and let one of its sides BC be produced to D ; the exteripr angle...
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The First Six and the Eleventh and Twelfth Books of Euclid's Elements: With ...

Euclid, James Thomson - 1837 - 390 pagine
...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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Lessons on Form: Or, An Introduction to Geometry, as Given in a Pestalozzian ...

Charles Reiner - 1837 - 215 pagine
...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 - 1837 - 240 pagine
...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
...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...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 exterior angle ACD shall...
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