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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 First Six, and the Eleventh and Twelfth Books of Euclid's Elements: With ... - Page 27
by Euclid, James Thomson - 1845 - 352 pages
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Elements of Geometry: Being Chiefly a Selection from Playfair's Geometry

John Playfair - Geometry - 1829 - 210 pages
...angles is equal to the other inferior and opposite angle. 2. The three angles of every rectilineal triangle are together equal to two right angles. Let ABC be a triangle; the three angles A, B, C, are together equal to two right angles. Produce any side BC to D, then the...
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Geometry Without Axioms; Or the First Book of Euclid's Elements. With ...

Thomas Perronet Thompson - Euclid's Elements - 1833 - 168 pages
...any triangle be prolonged, the exterior angle is equal to the sum of the two interior and opposite angles. Let ABC be a triangle, and let one of its sides, as BC, be produced to D. The exterior angle ACD shall be equal to the two interior and opposite angles...
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The Elements of Euclid; viz. the first six books, together with the eleventh ...

Euclides - 1834 - 518 pages
...from the vertex to the point of section, divides the outward angle of the triangle into tlvo equal angles. Let ABC be a triangle, and let one of its sides BA be produced to E ; and let the outward angle CAE be divided into two equal angles by the straight...
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The Elements of Euclid: Viz. the First Six Books, Together with the Eleventh ...

Euclid - 1835 - 540 pages
...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 triangle, and let one of its sides BC be produced to D ; the exterior angle ACD is equal to the two interior and opposite angles CAB, ABC, and the three interior...
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Elements of Geometry: Containing the First Six Books of Euclid, with a ...

John Playfair - Euclid's Elements - 1835 - 336 pages
...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 let one of its sides EC be produced to D ; the exterior angle ACD is equal to the two interior and opposite angles CAB,...
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Library of Useful Knowledge: Geometry plane, solid, and spherical [by Pierce ...

Mathematics - 1835 - 684 pages
...produced, the exterior angle shall be equal to the two interior and opposite angles ; and the three angles of every triangle are together equal to two right angles. Let the side В С of the Л TS triangle А В С be produced to D : the exterior angle А С D shall be...
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An Exposition of the Mysteries; Or, Religious Dogmas and Customs of the ...

John Fellows - 1835 - 432 pages
...four. Of the geometrical theorems ascribed to Pythagoras, the following are the principal: that the interior angles of every triangle are together equal to two right angles; that the only polygons which fill up the whole space about a given point, are the equilateral triangle,...
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The Element of Geometry

John Playfair - Geometry - 1836 - 148 pages
...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 triangle, and let any of its sides BC be produced to D ; the exterior angle ACD is equal to the two interior and opposite...
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Elements of Geometry: Containing the First Six Books of Euclid : with a ...

John Playfair - Euclid's Elements - 1837 - 332 pages
...and opposite angles ; and the three 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 ACD is equal to the two interior and opposite angles CAB, ABC ; and the three...
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The First Six and the Eleventh and Twelfth Books of Euclid's Elements: With ...

Euclid, James Thomson - Geometry - 1837 - 410 pages
...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. Let the side BC of the triangle ABC be produced to D : the exterior angle A CD is equal to the two interior...
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