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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. "
Elements of Geometry: Containing the First Six Books of Euclid, with a ... - Pagina 49
door John Playfair - 1836 - 311 pagina’s
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The Elements of Euclid: The Errors, by which Theon, Or Others, Have Long Ago ...

Robert Simson - 1762 - 488 pagina’s
...to the two interior and oppofite angles ; and the three interior angles of every triangle are ec(ual to two right angles. Let ABC be a triangle, and let one of its fides BC be produced to D. the exterior angle ACD is equal to the two interior and oppofite angles...
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The Popular Educator, Volumes 5-6;Volume 14

1867 - 878 pagina’s
...connected with our present subject. Euclid has proved, in the 32nd Proposition of his First BccV. that the three interior angles of every triangle are equal to two right angles, that is, to 180°. Let the hear this fact in mind. Hence it follows that if the of any two angles of...
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The Elements of Euclid, Viz: The Errors, by which Theon, Or Others, Have ...

Robert Simson - 1775 - 534 pagina’s
...IF a fide of any triangle be producedi the exterior angle is equal to the two interior and oppofite angles ; and the three interior angles of every triangle...angles. Let ABC be a triangle, and let one of its fides BC be produced to D ; the exterior angle ACD is equal to the two interior and oppofite angles...
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The Elements of Euclid: The Errors, by which Theon, Or Others, Have Long Ago ...

Robert Simson - 1781 - 534 pagina’s
...TF a fide of any triangle be produced, the exterior angle is equal to the two interior and oppofite angles ; and the three interior angles of every triangle...angles. Let ABC be a triangle, and let one of its fides BC be produced to D. the exterior angle ACD is equal to the two interior and oppofite angles...
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The First Six Books: Together with the Eleventh and Twelfth

Euclid - 1781 - 552 pagina’s
...TF a fide of any triangle be produced, the exterior angle is equal to the two interior and oppofite angles ; and the three interior angles of every triangle...angles. Let ABC be a triangle, and let one of its fides BC be produced to D ; the exterior angle ACD is equal to the two interior and oppofite angles...
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The philosophical and mathematical commentaries of Proclus ... on the first ...

Proclus (Diadochus.) - 1788 - 350 pagina’s
...under fome general* klea, of which we pofleis a previous knowledge : thus, he who already knows that the three interior angles of) every triangle are equal to two right, and' is as yet ignorant that fome particular figure delineated on paper is- a triangle, isv no fooner...
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Elements of Geometry;: Containing the First Six Books of Euclid, with Two ...

Euclid, John Playfair - 1795 - 462 pagina’s
...a fide of any triangle be produced, the exterior J. angle is equal to the two interior and oppofite angles ; and the three interior angles of every triangle...angles. Let ABC be a triangle, and let one of its fides BC be produced to D ; the exterior angle ACD is equal to the two in- . terior and oppofite angles...
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The Elements of Euclid: Viz. the First Six Books, with the Eleventh and ...

Alexander Ingram - 1799 - 374 pagina’s
...IF a fide of any triangle be produced, the exterior angle is equal to the two interior and oppoiite angles ; and the three interior angles of every triangle...angles. Let ABC be a triangle, and let one of its fides BC be produced to D ; the exterior angle ACD is equal to the two interior and oppofite angles...
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The Elements of Euclid: Also the Book of Euclid's Data ...cor. viz. The ...

Robert Simson - 1804 - 530 pagina’s
...IF a fide of any triangle be produced, the exterior angle is equal to the two interior and oppofite angles ; and the three interior angles of every triangle...angles. Let ABC be a triangle, and let one of its fides BC be produced to D. the exterior angle ACD is equal to the two interior and oppofite angles...
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The Elements of Euclid: Viz. the First Six Books, Together with the Eleventh ...

Euclid, Robert Simson - 1821 - 514 pagina’s
...was to be donePROP. XXXII. THEOR. 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 twa right angles. Let ABCbeatriangle,andletoneof itssidesBCbeproducedto D; the exterior angle ACD is...
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