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" The sum of all the angles on the same side of a straight line at a given point is equal to two right angles. "
New Plane Geometry - Page 13
by Webster Wells - 1908 - 174 pages
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A Treatise on Elementary Geometry: With Appendices Containing a Collection ...

William Chauvenet - Geometry - 1871 - 380 pages
...conclusion and hypothesis of the first. For example, Proposition II. may be enunciated thus : Hypothesis — if two adjacent angles have their exterior sides in the same straight line, then — Conclusion — the sum of these adjacent angles is equal to two right angles. And Proposition...
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A Treatise on Elementary Geometry: With Appendices Containing a Collection ...

William Chauvenet - Mathematics - 1872 - 382 pages
...conclusion and hypothesis of the first. For example, Proposition II. may be enunciated thus: Hypothesis — if two adjacent angles have their exterior sides in the same straight line, then — Conclusion — the sum of these adjacent angles is equal to two right angles. And Proposition...
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A Treatise on Elementary Geometry: With Appendices Containing a Collection ...

William Chauvenet - Geometry - 1872 - 382 pages
...conclusion and hypothesis of the first. For example, Proposition II. may be enunciated thus: Hypothesis—if two adjacent angles have their exterior sides in the same straight line, then— Conclusion—the sum of these adjacent angles is equal to two right angles. And Proposition...
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Chauvenet's Treatise on Elementary Geometry

William Chauvenet, William Elwood Byerly - Geometry - 1887 - 336 pages
...and hypothesis of the first. For example, Proposition III. may be enunciated thus: Hypothesis—if two adjacent angles have their exterior sides in the same straight line, then—Conclusion—the sum of these adjacent angles is equal to two right angles. And Proposition...
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Chauvenet's Treatise on Elementary Geometry

William Chauvenet, William Elwood Byerly - Geometry - 1887 - 331 pages
...and hypothesis of the first. For example. Proposition III. may be enunciated thus: Hypothesis—if two adjacent angles have their exterior sides in the same straight line, then—Conclusion—the sum of these adjacent angles is equal to two right angles. And Proposition...
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Elementary Geometry

William Chauvenet - 1893 - 340 pages
...and hypothesis of the first. For example, Proposition III. may be enunciated thus: Hypothesis—if two adjacent angles have their exterior sides in the same straight line, then—Conclusion—the sum of these adjacent angles is equal to two right angles. And Proposition...
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Journal of the Michigan Schoolmasters' Club, Volume 22; Volumes 31-40

Michigan Schoolmasters' Club - Education - 1894 - 554 pages
...geometry a reasonable amount of intuition might be assumed, eg, assume "All right angles are equal;" also "If two adjacent angles have their exterior sides in the same straight line, their sum is equal to two right angles," and some other propositions equally as obvious to the student....
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Elements of Geometry: Plane and Solid

John Macnie - Geometry - 1895 - 386 pages
...produced to 6. Show that BAb and CAE are complementary angles. ANGLES. PROPOSITION II. THEOREM. 46. If two adjacent angles have their exterior sides in the same straight line, theve angles are supplementary. BAD Given: Two adjacent angles BAC, CAD, with their exterior sides...
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Documents of the Senate of the State of New York, Volume 10

New York (State). Legislature. Senate - Government publications - 1897 - 1274 pages
...acknowledge the source. 7 The first demonstration forms the third recitation. This theorem is taken : ' If two adjacent angles have their exterior sides in the same straight line, the angles are supplementary.' The materials with which the pupil has to work were accumulated in the...
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Essentials of Geometry (plane).

Webster Wells - Geometry - 1898 - 264 pages
...equal to two right angles. 33. Sch. Since angles ACD and BCD are supplementary (§ 30), the theorem may be stated as follows: If two adjacent angles have...in the same straight line, they are supplementary. 34. Cor. I. The sum of all the angles on the same side of a straight line at a given point is equal...
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