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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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The Elements of Euclid

Euclid - 1838 - 416 pagine
...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...angles of every triangle are equal to two right angles. ROOK I. triangle, viz. ABC, BCA, CAB, are together equal to two right angles. Through the point C draw...
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The Elements of Euclid; viz. the first six books,together with the eleventh ...

Euclides - 1841 - 351 pagine
...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...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 be...
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A System of Crystallography, with Its Application to Mineralogy

John Joseph Griffin - 1841 - 489 pagine
...Acuic-anylcd, when the triangle has three acute angles. See the triangular planes on Model 73. 7, The three interior angles of every triangle are equal to two right angles. — It, If two angles of a triangle be given, the third is equal to the difference between their sum...
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Elements of Geometry: Containing the First Six Books of Euclid, with a ...

John Playfair - 1842 - 317 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...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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Elements of geometry: consisting of the first four,and the sixth, books of ...

Euclides - 1842
...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...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 exterior angle AC D is equal...
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On School Education: Designed to Assist Parents in Choosing and Cooperating ...

James Pycroft - 1843 - 216 pagine
...complicated nature, any more than the Moralist should suppose he can render it highly probable that the three interior angles of every triangle are equal to two right angles, or the Orator exhaust his powers of persuasion in trying to enlist the affections in favour of the...
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The Necessary Existence of God

William Honyman Gillespie - 1843 - 391 pagine
...subjective mind. 65. To illustrate this doctrine by an example taken from the science of magnitude. That the three interior angles of every triangle are equal to two right angles, is a truth which, if the demonstration has been followed, cannot but be believed, when the subject...
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Euclid in Paragraphs: The Elements of Euclid: Containing the First Six Books ...

Euclid - 1845 - 199 pagine
...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...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 First Six, and the Eleventh and Twelfth Books of Euclid's Elements: With ...

Euclid, James Thomson - 1845 - 352 pagine
...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
...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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