Elementary Geometry ... |
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Page 12
... Parallel . Tapà , ¤ ›› ŋλa , alongside of one another . Parallelogram . παρὰ , ἄλληλα , γραμμή , made by lines alongside of one another . Trapezium . Tрáжeja , a table . Trapezoid . Tрawesveids , like a table . Orthogonal . opeòs ...
... Parallel . Tapà , ¤ ›› ŋλa , alongside of one another . Parallelogram . παρὰ , ἄλληλα , γραμμή , made by lines alongside of one another . Trapezium . Tрáжeja , a table . Trapezoid . Tрawesveids , like a table . Orthogonal . opeòs ...
Page 42
James Maurice Wilson. SECTION III . PARALLELS AND PARALLELOGRAMS . Def . 35. Parallel straight lines are such as are ... parallel to the same straight line . Def . 36. A trapezium is a quadrilateral that has only one pair of opposite ...
James Maurice Wilson. SECTION III . PARALLELS AND PARALLELOGRAMS . Def . 35. Parallel straight lines are such as are ... parallel to the same straight line . Def . 36. A trapezium is a quadrilateral that has only one pair of opposite ...
Page 43
... parallel . Part . En . Let ABCD intersect EF and GH , and make the angle EBC equal to its alternate angle BCH ; it is required to prove that EF is parallel to GH . E C B H Proof . For if EF and GH meet towards F , H , they would form a ...
... parallel . Part . En . Let ABCD intersect EF and GH , and make the angle EBC equal to its alternate angle BCH ; it is required to prove that EF is parallel to GH . E C B H Proof . For if EF and GH meet towards F , H , they would form a ...
Page 44
... parallel to GF * . THEOREM 22 . If two straight lines are parallel , and are intersected by a third straight line , the alternate angles are equal . Part . En . Let EF and GH be parallel straight lines , and let ABCD intersect them ; it ...
... parallel to GF * . THEOREM 22 . If two straight lines are parallel , and are intersected by a third straight line , the alternate angles are equal . Part . En . Let EF and GH be parallel straight lines , and let ABCD intersect them ; it ...
Page 46
... parallel to one another * . Part . En . Let A and B be each of them parallel to X , it is required to prove that A is parallel to B. Proof . If A intersected B , then two intersecting lines , A B A , B would each be parallel to a third ...
... parallel to one another * . Part . En . Let A and B be each of them parallel to X , it is required to prove that A is parallel to B. Proof . If A intersected B , then two intersecting lines , A B A , B would each be parallel to a third ...
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Common terms and phrases
AB² ABCD alternate angles angle ABC angle APB angle BAC angles are equal angles equal bisector centre chord circumference coincide College Constr construct contrapositive Crown 8vo describe a circle diagonals diameter divided draw Edition equal angles equal circles equiangular Euclid exterior angle fcap Find the locus four right angles Geometry given angle given circle given line given point given rectilineal figure given straight line hypotenuse included angle inscribed intersect isosceles triangle less Let AB Let ABC locus magnitudes meet middle point minor arc opposite angles opposite sides parallel parallelogram perpendicular polygon PROBLEM produced Proof Q. E. D. THEOREM quadrilateral radius rectangle contained reflex angle required to prove rhombus right angles segment semicircle Shew square subtend supplementary supplementary angles tangent THEOREM trapezium triangle ABC triangles are equal unequal
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