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" The angles which one straight line makes with another upon one side of it, are either two right angles, or are together equal to two right angles. "
The Projection and Calculation of the Sphere for Young Sea Officers Being a ... - Page 18
by S. M. Saxby - 1861 - 112 pages
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Report ... on the common school system of the United States and of the ...

James Fraser (bp. of Manchester.) - 1866 - 480 pages
...eq«anyular polyyons. 2. Give three corollaries to the proposition : The angles which one straight line makes with another, upon one side of it, are...angles, or are together equal to two right angles. 3. Prove that the angles at the base of an isosceles triangle are equal. 4. Prove that if, from a point...
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Euclid's Elements of Geometry: Chiefly from the Text of Dr. Simson, with ...

Robert Potts - 1868 - 434 pages
...drawn to the given straight line -AB. QEF PROPOSITION XIII. THEOREM. The angles which one straight line makes with another upon one side of it, are either...angles, or are together equal to two right angles. Let the straight line AB make with CD, upon one side of it, the angles CBA, ABD. Then these shall be...
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Annual Report

1868 - 876 pages
...produced the angles ou the other side of this base shall be equal 30 2. The angles which one straight line makes with another upon one side of it are either...two right angles or are together equal to two right angels 20 3. Any two sides of a triangle are together greater than the third side 20 4. In obtuse-angled...
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The Elements of Plane and Spherical Trigonometry ...

Alfred Challice Johnson - Spherical trigonometry - 1871 - 178 pages
...opposite those sides are also equal, and vice versa. (Eue. L, 5, б.) 2. The angles which one straight line makes with another upon one side of it, are either...angles, or are together equal to two right angles, or 180°. (Eue. I., 13.) 3. If two straight l1nes cut one another, the vertical or opposite angles...
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Elements of geometry, containing the first two (third and fourth ..., Part 1

Euclides - 1871 - 136 pages
...D ; and from AD, AE is cut off = AC: shew that AEJi is a right angle. The angles which one straight line makes with another upon one side of it are either two right angles, or together equal to ttco right angles. Fig. 1. Fig. 2. Let AB make with CD upon one side of it the /...
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Elements of geometry, containing books i. to vi.and portions of books xi ...

Euclides, James Hamblin Smith - Geometry - 1872 - 376 pages
...cut off =AC: shew that AEB is a right angle. PROPOSITION XIII. THEOREM. The angles which one straight line makes with another upon one side of it are either two right angles, or toget/ier equal to two right angles. Fig. 1. Fig. 2. Ji Let AB make with CD upon one side of it the...
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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
...the given straight line AB. XIII. — The angles which one straight line makes with another upon the one side of it are either two right angles, or are together equal to two right angles. Let the straight line AB make with CD, upon one jlide of it, the angles CBA, ABD : these are either...
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Pure mathematics, Volume 1

Edward Atkins - 1874 - 426 pages
...drawn to the given straight line AB. QEF Proposition 13. — Theorem. The angles which one straight line makes with another upon one side of it, are either...angles, or are together equal to two right angles. Let the straight line AB make with CD, upon one side of it, the angles CBA, ABD. These angles shall...
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Euclidian Geometry

Francis Cuthbertson - Euclid's Elements - 1874 - 400 pages
....-. BA must fall along HG, and .-. L ABC is = L GHK. PROPOSITION IX. The angles which one straight line makes with another upon one side of it are either...angles or are together equal to two right angles. Let the straight line AB make with CD upon one side of it the L s ABC, ABD. These shall either be two...
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The Elements of Euclid, containing the first six books, with a selection of ...

Euclides - 1874 - 342 pages
...drawn to the given straight line A B. " QEF PROPOSITION 13. — Theorem. The angles which one straight line makes with another upon one side of it, are either...angles, or are together equal to two right angles. Let the straight line AB make with CD upon one side of it, the Then the angles CBA, ABD shall be either...
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