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" VIf two triangles have two angles and the included side of the one, equal to two angles and the included side of the other, each to each, the... "
Elements of Geometry and Conic Sections - Σελίδα 27
των Elias Loomis - 1849 - 226 σελίδες
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First Lessons in Geometry: With Practical Applications in Mensuration, and ...

Charles Davies - 1840 - 264 σελίδες
...and angle C=F, then will Angle A = D, angle B = E, and AB=DE. 2. If two triangles have two angles, and the included side of the one equal to two angles and the included side of the other, the remaining parts will also be equal. Q.UEST. — 1. Name the parts of one triangle, which being...

Elements of Geometry and Trigonometry

1843 - 376 σελίδες
...EF— BC, the angle E=B, and the angle F— C PROPOSITION VI. THEOREM. If two triangles have two angles and the included side of the one, equal to two angles and the included side of the oilier, each to each, the two triangles will be equal. Let the angle E be equal to the angle B, the...

Elements of Geometry: With Practical Applications ...

George Roberts Perkins - 1847 - 326 σελίδες
...obvious from what has already been done. PROPOSITION IV. THEOREM. If two triangles have two angles and the included side of the one equal to two angles and the included side of the other, the triangles will be identical, or equal in all respects. In the two triangles ABC, DFG, if the angle...

Elements of Geometry and Trigonometry Translated from the French of A.M ...

Charles Davies - 1849 - 372 σελίδες
...EF=BC, the angle E=B, and the angle F = C PROPOSITION VI. THEOREM. \ftwo triangles have two angles and the included side of the one, equal to two angles and the included side of the other, each to each, the two triangles will be equal. Let the angle E be equal 10 the angle B, the angle F...

Elementary Geometry: With Applications in Mensuration

Charles Davies - 1850 - 238 σελίδες
...the equal parts will coincide. T^ THEOREM V. If two triangles have two angles and the included sids of the one, equal to two angles and the included side of the other, each to tach, the two triangles will be equal. Let the two triangles ABC and DEF have the angle A equal...

Elementary Geometry: With Applications in Mensuration

Charles Davies - 1850 - 218 σελίδες
...other, the equal parts will coincide. THEOREM V. If two triangles have two angles and the included sids of the one, equal to two angles and the included side of the other, each to each, the two triangles will be equal. Let the two triangles ABC and DEF have the angle A equal...

Elements of Geometry and Trigonometry

Adrien Marie Legendre - 1852 - 436 σελίδες
...EDF is equal to the triangle BAC (A. 14). PROPOSITION VI. THEOEEM. If two triangles have two angles and the included side of the one, equal to two angles and the included side of the other, each to each, the two triangles will be equal. Let EDF and BAC be two triangles, having the angle E...

Elements of Geometry and Trigonometry: With Applications in Mensuration

Charles Davies - 1886 - 340 σελίδες
...the equal parts will coincideTHEOREM VIf two triangles have two angles and the included side of tne one, equal to two angles and the included side of the other, each to fach, the two triangles will be equalLet the two triangles ABC and DEF have the angle A equal...

Elements of Geometry and Trigonometry from the Works of A.M. Legendre ...

Charles Davies - 1854 - 436 σελίδες
...the angle E=B, and the angle F~C. BOOK I. PROPOSITION VI. THEOREM. If two triangles have two angles and the included side of the one, equal to two angles and the included side of the other, each to each, the two triangles will be equal. Let EDF and .BAC be two triangles, having the angle...

Mathematical Dictionary and Cyclopedia of Mathematical Science: Comprising ...

Charles Davies, William Guy Peck - 1855 - 592 σελίδες
...principles of Geometry have been proved : thus, it is proved, that if two triangles have two angles and the included side of the one, equal to two angles and the included side of the other, each to each, they will be equal. It is also proved, by the method of application, that the diameter...




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