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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: With Practical Applications to Mensuration - Page 36
by Benjamin Greenleaf - 1868 - 320 pages
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The Principles of psychology, Volume 2

Herbert Spencer - 1873 - 678 pages
...and opposite 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...
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The Principles of Psychology, Volume 2

Herbert Spencer - Psychology - 1873 - 670 pages
...and opposite 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...
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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 be produced to D ; 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
...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 shall be equal to the two interior and opposite angles CAB, ABC; and...
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Pure mathematics, Volume 1

Edward Atkins - 1874 - 426 pages
...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 shall be equal to the two interior and opposite angles CAB, ABC ; And...
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New Elementary Geometry: With Practical Applications : a Shorter Course Upon ...

Benjamin Greenleaf - Geometry - 1874 - 206 pages
...to the interior and opposite angle ^4 B 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 (26, Ax. 2). Add now to each of the equals CAB and ABC the angle ACB, and we shall have the sum of...
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The Elements of Euclid, containing the first six books, with a selection of ...

Euclides - 1874 - 342 pages
...drawn from the vertex to the point of section, divides the outward angle of the triangle into two 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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Elements of geometry, based on Euclid, books i-iii

Edward Atkins - 1876 - 130 pages
...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 shall be equal to the two interior rind opposite angles CAB, ABC ; And...
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