The Synoptical Euclid; Being the First Four Books of Euclid's Elements of Geometry, from the Edition of Dr. Robert Simson ... With ExercisesCharles Henry Law, 1854 - 120 páginas |
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Página 29
Euclid, Samuel A. GOOD. Because the angle EGB is equal to the angle GHD , and the angle EGB equal ( I. 15. ) to the ... exterior angle equal to the interior and opposite upon the same side ; and likewise the two interior angles upon the ...
Euclid, Samuel A. GOOD. Because the angle EGB is equal to the angle GHD , and the angle EGB equal ( I. 15. ) to the ... exterior angle equal to the interior and opposite upon the same side ; and likewise the two interior angles upon the ...
Página 31
... exterior angle is equal to the two interior and opposite angles ; and the three interior angles of every triangle are equal to two right angles . Let ABC be a triangle , and let one of its sides BC be produced to D ; the exterior angle ...
... exterior angle is equal to the two interior and opposite angles ; and the three interior angles of every triangle are equal to two right angles . Let ABC be a triangle , and let one of its sides BC be produced to D ; the exterior angle ...
Página 32
... exterior angles of any rectilineal figure are together equal to four right angles . A D B Because every interior angle ABC , with its adjacent exterior ABD , is equal ( I. 13. ) to two right angles ; therefore all the interior ...
... exterior angles of any rectilineal figure are together equal to four right angles . A D B Because every interior angle ABC , with its adjacent exterior ABD , is equal ( I. 13. ) to two right angles ; therefore all the interior ...
Página 35
... exterior angle FDC is equal ( I. 29. ) to the interior EAB , therefore ( I. 4. ) 3. The base EB is equal to the base FC , and the triangle EAB equal to the triangle FDC . Take the triangle FDC from the trapezium ABCF , and from the same ...
... exterior angle FDC is equal ( I. 29. ) to the interior EAB , therefore ( I. 4. ) 3. The base EB is equal to the base FC , and the triangle EAB equal to the triangle FDC . Take the triangle FDC from the trapezium ABCF , and from the same ...
Página 50
... exterior angle BGC is equal to the interior and opposite angle ADB ; but ( I. 5. ) 2. ADB is equal to the angle ABD , because BA is equal to AD , being sides of a square ; wherefore 3. The angle CGB is equal to the angle GBC ; and ...
... exterior angle BGC is equal to the interior and opposite angle ADB ; but ( I. 5. ) 2. ADB is equal to the angle ABD , because BA is equal to AD , being sides of a square ; wherefore 3. The angle CGB is equal to the angle GBC ; and ...
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Términos y frases comunes
AB is equal AC is equal adjacent angles angle ABC angle ACB angle AGH angle BAC angle BCD angle EDF angle equal base BC bisected circle ABC circumference diameter double draw equal angles equal Constr equal Hyp equal straight lines equal to BC equilateral and equiangular EUCLID'S ELEMENTS exterior angle given circle given point given rectilineal angle given straight line given triangle gnomon greater inscribed interior and opposite less Let ABC Let the straight likewise opposite angles parallel to CD parallelogram pentagon perpendicular point F produced Q.E.D. PROP rectangle AE rectangle contained remaining angle required to describe right angles semicircle side BC square of AC straight line AB straight line AC straight line drawn touches the circle triangle ABC twice the rectangle