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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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Elements of Geometry, Conic Sections, and Plane Trigonometry

Elias Loomis - Geometry - 1871 - 302 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 AGB ; then will the sum of the two angles ACD, ACB...
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The Principles of Psychology: Special analysis. General analysis. Corollaries

Herbert Spencer - Psychology - 1872 - 670 pages
...angle ABC; but the angle ACE was shown to be equal to the angle BAG; therefore the whole exterior anglo ACD, is equal to the two interior and opposite angles CAB, ABC. " To these angles add the angle ACB ; then the angles ACD, ACB are together equal to the three angles...
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The Acting Teacher's and Student's in Training Guide and Text Book for ...

Henry Major - Student teachers - 1873 - 588 pages
...and opposite angles; and the three interior angles of evary triangle are equal to two right cmgles. 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, riz., ABC, BCA, CAB, are together equal to two right...
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The Principles of Psychology, Volume 2

Herbert Spencer - Psychology - 1873 - 670 pages
...angles ; and 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 ; then the exterior angle ACD is equal to the two interior and opposite angles CAB, ABC ; and the three...
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The Principles of psychology, Volume 2

Herbert Spencer - 1873 - 678 pages
...angles ; and 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 ; then the exterior angle ACD is equal to the two interior and opposite angles CAB, ABC ; and the three...
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The Principles of Psychology, Volume 2

Herbert Spencer - Psychology - 1873 - 674 pages
...opposite angle ABC; but the angle ACE was shown to bo equal to the angle BAC ; therefore the whole exterior angle ACD, is equal to the two interior and opposite angles CAB, ABC. "To these angles add the angle ACB ; then the angles ACD, ACB are together equal to the three angles...
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New Elementary Geometry: With Practical Applications ; a Shorter Course Upon ...

Benjamin Greenleaf - Geometry - 1873 - 202 pages
...equal to the interior and opposite angle AB C. But the angle ACE is equal to BAC; therefore, the whole exterior angle ACD is equal to the two interior and opposite angles CAB, ABC(2Q, Ax. 2). Add now to each of the equals CAB and ABC the angle ACB, and we shall have the sum...
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A school Euclid, being books i. & ii. of Euclid's Elements, with notes by C ...

Euclides - 1874 - 120 pages
...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 three interior angles of the...
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Pure mathematics, Volume 1

Edward Atkins - 1874 - 428 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 three interior angles of...
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Elements of Euclid Adapted to Modern Methods in Geometry

Euclid, James Bryce, David Munn (F.R.S.E.) - Geometry - 1874 - 236 pages
...angles of every triangle are together equal to two right armies. Let ABC be a triangle, and let the side BC be produced to D; the exterior angle ACD is equal to the two interior and remote angles A and B; and the three interior angles A, B, and ACB are together equal to two right...
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