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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 together equal to two right angles. "
The geometry of the three first books of Euclid, by direct proof from ... - Seite 24
von Euclides - 1856
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Elements of Geometry: Containing the First Six Books of Euclid: With a ...

John Playfair - 1819 - 317 Seiten
...the given straight linp BC. Which was to be done. PROP. XXXII. THEOR. 'if a side of any triangle bf produced, the exterior angle is equal to the two interior and opposite angles ; and the three interior angles of everif triangle are equal to two right angles. Let ABC be a triangle, and let one...
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Pantologia. A new (cabinet) cyclopædia, by J.M. Good, O. Gregory ..., Band 5

John Mason Good - 1819 - 740 Seiten
...line through a given tioint parallel to a given straight line. Prop. XXXII. Theor. If a side of any triangle be produced, the exterior angle is equal to the two interior and opposite angles : anil the three interior angles of every triaugie are equal to two riyht angles. Prop. XXXIII. Theor....
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Elements of Geometry: Containing the First Six Books of Euclid, with a ...

John Playfair - 1819 - 333 Seiten
...of straight lines meeting in one point, are together equal to four right angles. PROP. XVI. THEOR. If one side of a triangle be produced, the exterior angle is greater than either of the interior, and opposite angles. Let ABC be a triangle, and let its side BC...
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A Popular Course of Pure and Mixed Mathematics ...: With Tables of ...

Peter Nicholson - 1825 - 372 Seiten
...of lines meeting in one point, are together equal to four right angles. Proposition XVI, Theorem . If one side of a triangle be produced, the exterior angle is greater than either of the interior opposite angles. Let ABC be a triangle, and let its side BC be...
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Euclid's Elements of geometry, transl. To which are added, algebraic ...

Euclides - 1826 - 228 Seiten
...angle equal to a given rectilineal angle. PROPOSITION XXXII* THEOREM. One side of any triangle being produced, the exterior angle is equal to the two interior and opposite angles, and the three interior angles of a triangle are equal to two right angles. Eoint c draw CE parallel to the right...
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Elements of Geometry, Containing the First Six Books of Euclid

Euclid - 1826 - 180 Seiten
...three remaining sides equal to each other. PROPOSITION XXXII * THEOREM. One side of any triangle being produced, the exterior angle is equal to the two interior and opposite angles, and the three interior angles of a triangle are equal to two right angles. Let ABC be a triangle ; and let one of...
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Elements of Geometry: Containing the First Six Books of Euclid, with a ...

John Playfair - 1826 - 320 Seiten
...Whieh was to be done. PROP. XXXII. THEOR. If a side of any triangle be produeed, the exterior ah^ gle is equal 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 trianelp, and let one...
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The Elements of Euclid: The Errors by which Theon, Or Others, Have Long ...

Robert Simson - 1827 - 513 Seiten
...any number of lines meeting in one point, are together equal to four right angles. PROP. XVI. THEOR. If one side of a triangle be produced, the exterior angle is greater than either of the interior opposite angles. Let ABC be a triangle, and let its side BC be...
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Elements of Geometry: Being Chiefly a Selection from Playfair's Geometry

John Playfair - 1829 - 186 Seiten
...the given line BC. Which was to be done. PROPOSITION XXXII. THEOREM.* 1. If any side of a rectilineal triangle be produced, the exterior angle is equal to the two interior and opposite angles taken together. Let ABC be a triangle, and let a side BC be produced to D; the exterior angle ACD is...
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Geometry, Plane, Solid, and Spherical, in Six Books: To which is Added, in ...

Pierce Morton - 1830 - 584 Seiten
...(A} A triangle cannot have more than one right angle, or more than one obtuse angle . . nor. 7 (i) If one side of a triangle be produced, the exterior angle is greater than either uf the interior and opposite . . ._ cor. 7 (i) If one side of a triangle be greater...
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