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" ... 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 angles of the triangle, viz. ABC, BCA, CAB,... "
A Treatise on Practical Mensuration in Eight Parts ... - Page 27
by Anthony Nesbit - 1824 - 434 pages
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Euclid in Paragraphs: The Elements of Euclid: Containing the First Six Books ...

Euclid - 1845 - 218 pages
...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...to the two interior and opposite angles CAB, ABC, and the three interior angles of the triangle, viz. ABC, BCD BCA, CAB, are together equal to two right...
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Euclid's Elements of geometry [book 1-6, 11,12] with explanatory notes ...

Euclides - 1845 - 546 pages
...opposite angles; and Ihe three interior angles of every triangle are together equal to two right angles. Let ABC be a triangle, and let one of its sides BC be produced to D. Then the exterior angle ACD shall be equal to the two interior and opposite angles CAB, ABC: and the...
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The First Six, and the Eleventh and Twelfth Books of Euclid's Elements: With ...

Euclid, James Thomson - 1845 - 382 pages
...angles ; and (2) the three interior angles of every triangle are together equal to two right angles. Let ABC be a triangle, and let one of its sides BC be produced to D : (1 ) the exterior angle ACD is equal to the two interior and remote angles CAB, ABC ; and (2) the...
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The Elements of Euclid, the parts read in the University of Cambridge [book ...

Euclides - 1846 - 292 pages
...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 shall be equal to the two interior and opposite angles CAB, ABC; and the . . n three interior angles...
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Elements of Geometry: Containing the First Six Books of Euclid, with a ...

Euclid, John Playfair - 1846 - 334 pages
...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 he produced to D ; the exterior angle ACD is equal to the two interior and opposite angles CAB, ABC...
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A Complete Treatise on Practical Land-surveying: In All Its Departments ...

Anthony Nesbit - 1847 - 492 pages
...the same side, are together equal to H\ two right angles. (Euc. I. 29. Simp. I. 7. \ Em. I. 4.) c D THEOREM IV. Let ABC be a triangle, and let one of...be produced to D ; the exterior angle ACD is equal A to the two interior and opposite angles CAB, ABC; also the three interior angles of every triangle...
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The first three books of Euclid's Elements of geometry, with theorems and ...

Euclid, Thomas Tate - 1849 - 120 pages
...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...to the two interior and opposite angles CAB, ABC, and the three interior angles of the triangles, viz. ABC, BCA, CAB, are together equal to two right...
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Elements of Geometry and Conic Sections

Elias Loomis - 1849 - 252 pages
...the interior and opposite angle ABC. But the angle ACE was proved equal to BAC; therefore the whole exterior angle ACD is equal to the two interior and opposite angles CAB, ABC (Axiom 2). To each of these equals add the angle ACB; then will the sum of the two angles ACD, ACB...
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The first two books of the Elements of Euclid, with additional figures ...

Euclides - 1852 - 152 pages
...and opposite angles. And the three interior angles of every triangle are equal to two riffht angles. Let ABC be a triangle, and let one of its sides BC be produced to D; (1.) the exterior angle ACD is equal to the two interior and opposite angles CAB, ABC; (2.) and the...
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The geometry, by T. S. Davies. Conic sections, by Stephen Fenwick

Royal Military Academy, Woolwich - 1853 - 400 pages
...and opposite angles ; and the three inferior angles of every triangle are equal to two rigJit angles. Let ABC be a triangle, and let one of its sides BC...to the two interior and opposite angles CAB, ABC, and the three interior angles of the triangle, viz., ABC, BCA, CAB, are together equal to two right...
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