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" 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. "
Surveying and Navigation, with a Preliminary Treatise on Trigonometry and ... - Pàgina 34
per Aaron Schuyler - 1873 - 490 pàgines
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Elements of Geometry and Trigonometry: With Applications in Mensuration

Charles Davies - 1864 - 358 pàgines
...equal : for if applied the one to the other, the equal parts will coincideTHEOREM VIf two triangles have two angles and the included side of the one, equal to two angles and the mcluded side of the other, each to each, ihe two triangles will be equalLet the two triangles ABC and...
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A Treatise on Surveying: In which the Theory and Practice are Fully ...

Samuel Alsop - 1865 - 440 pàgines
...and EDH, are equal in all respects. Hence, AFQ and AEC, having two angles and the included side of one equal to two angles and the included side of the other, are equal in all respects; therefore AG = AC. Finally, ABC and ABG have two sides and their included...
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Elements of Geometry and Trigonometry

C. Davies - 1867 - 342 pàgines
...the equal parts will coincideTHEOREM vIf two triangles have two angles and the included side of tht one, equal to two angles and the included side of the other, each to each, the two triangles will be equalLet the two triangles ABC and DEF have the angle A equal to the angle...
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Marks' First Lessons in Geometry: Objectively Presented

Bernhard Marks - 1869 - 180 pàgines
...a parallelogram, the interior alternate angles r and m are equal. Then the two triangles adb, bdc, have two angles and the included side of the one equal...the other, each to each, and are therefore equal; And the side ab opposite the angle m is equal to the side cd opposite the equal angle r; And the side...
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Marks' First Lessons in Geometry: Objectively Presented

Bernhard Marks - 1869 - 172 pàgines
...line de fall exactly upon the line ab ? bcef DEMONSTRATION. We wish to prove that, If two triangles have two angles, and the included side of the one...and the included side of the other, each to each, the two triangles are equal to each other in all respects. Let the triangles abc and d ef have the...
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The Elementary and Complete Examiner: Or, Candidate's Assistant: Prepared to ...

Isaac Stone - 1869 - 272 pàgines
...211. Two diagonals of any parallelogram mutually bisect each other. 21"2. Any two triangles having two angles and the included side of the one equal...and the included side of the other, each to each, are equal. 213. A triangle is equivalent to half a parallelogram of equal hase and altitude, 214. If...
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The Elementary and Complete Examiner: Or, Candidate's Assistant: Prepared to ...

Isaac Stone - 1869 - 278 pàgines
...angles. 211. Two diagonals of any parallelogram mntually bisect each other. 212. Any two triangles having two angles and the included side of the one equal...and the included side of the other, each to each, arc equal. 213. A triangle is equivalent to half a parallelogram of equal base and altitude. 214. If...
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Marks' First Lessons in Geometry: Objectively Presented

Bernhard Marks - 1869 - 170 pàgines
...equal. Then the two triangles adb, bdc, have two angles and the included side of the one equal to'two angles and the included side of the other, each to each, and are therefore equal; And the side ab opposite the angle m is equal to the side cd opposite the equal angle r; And the side...
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Elements of Geometry and Trigonometry: With Applications in Mensuration

Charles Davies - 1870 - 392 pàgines
...equal : for if applied the one to the other, the equal parts will coincide. THEOREM v. If two triangles have two angles and the included side of the one,...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 to the angle...
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Marks' First Lessons in Geometry: In Two Parts : Objectively Presented and ...

Bernard Marks - 1871 - 172 pàgines
...de fall exactly upon the line ab? » ce / DEMONSTRATION. We wish to prove that, //' tiro triangles have two angles, and the included side of the one...and the included side of the other, each to each, the two triangles are equal to each other in all respects. Let the triangles abc and d ef have the...
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