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" From 56 and 57 the pupils should learn that two triangles are equal in every respect (a) when two sides and the included angle of one are equal to two sides and the included angle of the other... "
Plane and Solid Geometry - Page 64
by William James Milne - 1899 - 384 pages
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Plane and Solid Geometry

George Albert Wentworth - Geometry - 1904 - 496 pages
...exterior angles on the same side of the transversal are supplementary. PROPOSITION XXXVII. THEOREM. 185. Two parallelograms are equal, if two sides and the included angle of the one are equal, respectively, to two sides and the included angle of the other. B 0 Br C' AD 4!...
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School Science and Mathematics, Volume 7

Education - 1879 - 944 pages
...fully appreciated as well as the truth itself more fully known. When he has learned that two triangles are equal if two sides and the included angle of one are equal to two sides and the included angle of the other, respectively, if he be asked to apply it in finding the distance between two points that...
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School Science and Mathematics, Volume 7

Education - 1907 - 880 pages
...fully appreciated as well as the truth itself more fully known. When he has learned that two triangles are equal if two sides and the included angle of one are equal to two sides and the included angle of the other, respectively, if he be asked to apply it in finding the distance between two points that...
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Graded Lessons in Arithmetic, Book 8

Wilbur Fisk Nichols - 1905 - 208 pages
...by drawing AC and A' C'. Connect BC and B' C' . 11. Show that these two triangles are equal because two sides and the included angle of one are equal to two sides and the included angle of the other. NOTE. — Place one upon the other. 12. Draw two triangles that shall have two angles...
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Plane Geometry Suggestive Method

George Clinton Shutts - 1905 - 260 pages
...triangle, I/ PROPOSITION VII. 82. Theorem. // two triangles have two sides and the included angle of one, equal to two sides and the included angle of the other, each to each, the triangles are equal in all respects. CE Let ABC and DBF represent two triangles, in which AB is...
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California Education, Volume 2

Education - 1914 - 220 pages
...matter how long AB and AC are drawn, or what size angle A has? This proves Theorem II. Two triangles are equal if two sides and the included angle of one are equal respectively to two sides and the included angle of the other. Problem V. To construct a triangle when...
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Announcements and Catalogue

University of Mississippi - 1905 - 262 pages
...(a; — 1) 5 3. Solve (1) ~— -- x-- J/+1 4. Divide a + b — 3aW + c by a* + &* + c*. GEOMETRY. 1. Two parallelograms are equal, if two sides and the included angle of the one arc equal, respectively, to two sides and the included angle of the other. 2. The sum of the...
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Handbook of Mathematics for Engineers and Engineering Students

Joseph Claudel - Mathematics - 1906 - 758 pages
...angles is always equal to four right angles. 654. Any two triangles ABC, A'B'C', are equal: 1st. When two sides and the included angle of one are equal to two sides and the included angle of the other: Z .4 = /.A', AB = A'B', AC = A'C'. 2d. When one side and the adjacent angles of one are...
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Geometry: Plane Trigonometry. Chain Surveying. Compass Surveying. Transit ...

International Correspondence Schools - Building - 1906 - 634 pages
...respectively, to one side and the similarly situated acute angle of the other. 74. Two triangles are equal when two sides and the included angle of one are equal to two sides and the included angle of the other. Fio.49 In Fig. 49, AB = A' ff = A"B", AC = A> C< = A" C" , and A = A1 = A". If A' B1...
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Plane Geometry

Edward Rutledge Robbins - Geometry, Plane - 1906 - 268 pages
...If one angle of a parallelogram is 65°, find the other three. If one is 90°, find the others. 139. THEOREM. Two parallelograms are equal if two sides and the included angle of one are equal respectively to two sides and the included angle of the other. B, ,c M. ,N Given: SI AC ami LN; AB...
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