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" If two triangles have two sides of the one equal, respectively, to two sides of the other, but the included angle of the first triangle greater than the included angle of the second, then the third side of the first is greater than the third side of the... "
A System of Popular Geometry: Containing in a Few Lessons So Much of the ... - Side 3
av George Darley - 1836 - 128 sider
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The British Encyclopedia, Or Dictionary of Arts and Sciences ..., Volum 1

William Nicholson - 1809 - 716 sider
...and fundamental propositions in elementary geometry. Thus it is proved, that two triangles, having two sides of the one equal respectively to two sides of the other, and the two included angles equal, are equal in all respects ; and two triangles, having one side and the....
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American Edition of the British Encyclopedia: Or, Dictionary of ..., Volum 1

William Nicholson - 1819 - 432 sider
...and fundamental propositions in elementary geometry. Thus it is proved, that two triangles, having two sides of the one equal respectively to two sides of the other, and the two included angles equal, are equal in all respects ; and two triangles, having one side and the...
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The Geometrical Companion, in which the Elements of Abstract Geometry are ...

George Darley - 1828 - 190 sider
...thicken upon us in the few next pages. LESSON I. ARTICLE 1. " If there be two triangles which have hvo sides of the one equal, respectively, to two sides...likewise the angles contained by those sides equal to one another : then the bases or third sides of these triangles are also equal." ART. 2. " In such triangles...
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The Schoolmaster: Essays on Practical Education, Selected from the ..., Volum 1

1836 - 502 sider
...instructors to get rid of as much Greek as possible, and also of many superfluous phrases. For instance, " if there be two triangles which have two sides of the one equal to two sides of the other, each to each, &c." The phrase in italics is not an English idiom, but the...
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The schoolmaster: essays on practical education, selected from the works of ...

Schoolmaster - 1836 - 926 sider
...instructors to get rid of as much Greek as possible, and also of many superfluous phrases. For instance, " if there be two triangles which have two sides of the one equal to two sides of the other, each to each, &c." The phrase in italics is not an English idiom, but the...
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Euclid's Elements of geometry, books i. ii. iii. iv

Euclides - 1862 - 140 sider
...to the base. 40. To describe a triangle equal to a given quadrilateral figure. 41. If two triangles have two sides of the one equal respectively to two sides of the other, and have likewise the contained angles supplementary, the triangles are equal in area. 42. To bisect a...
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An Elementary Geometry

William Frothingham Bradbury - 1872 - 124 sider
...parallelogram ; E and F the middle points of AB and CD. BFand DE trisect the diagonal A C. 50. If two triangles have two sides of the one equal respectively to two sides of the other, and the included angles supplementary, the triangles are equivalent. 51. The diagonals divide a parallelogram...
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The first and second books of Euclid explained to beginners, by C.P. Mason

Euclid, Charles Peter Mason - 1872 - 216 sider
...direction. To prove the proposition by the help of the construction we must know, — 1. That if two AS have two sides of the one equal respectively to two sides of the other, and also the ^ included between the said sides in the first A equal to the ^ included between the said...
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An Elementary Geometry and Trigonometry

William Frothingham Bradbury - 1872 - 262 sider
...; E and F the middle points of AB and CD. BF and DE trisect the diagonal A C. 50. If two triangles have two sides of the one equal respectively to two sides of the other, and the included angles supplementary, the triangles are equivalent. 51. The diagonals divide a parallelogram...
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Annual Report

1876 - 710 sider
...FIRST AND SECOND DIVISIONS. i. Define a right angle, parallel straight lines, diameter of a circle. 2. If there be two triangles which have two sides of the one equal о two sides of the other, each to each, and have their bases equal»the angle contained by the two...
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