Elementary geometry |
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Página 4
... , i . e . a straight edge , not divided , and a pair of compasses , in the solution of Problems . A Corollary is a geometrical truth easily deducible from a theorem . Q. E. D. stands for quod erat demonstrandum , and 4 ELEMENTARY GEOMETRY .
... , i . e . a straight edge , not divided , and a pair of compasses , in the solution of Problems . A Corollary is a geometrical truth easily deducible from a theorem . Q. E. D. stands for quod erat demonstrandum , and 4 ELEMENTARY GEOMETRY .
Página 58
... divided into a parallelogram and a triangle . 19. The diagonals of any parallelogram will bisect one another . 20. The diagonals of a rhombus will bisect one another at right angles . 21. If two straight lines be drawn bisecting one ...
... divided into a parallelogram and a triangle . 19. The diagonals of any parallelogram will bisect one another . 20. The diagonals of a rhombus will bisect one another at right angles . 21. If two straight lines be drawn bisecting one ...
Página 87
... divided internally or externally . THEOREM 5 . The rectangle contained by two given lines is equal to the sum of the rectangles contained by one of them and the several parts into which the other is divided . Part . En . Let A and BC be ...
... divided internally or externally . THEOREM 5 . The rectangle contained by two given lines is equal to the sum of the rectangles contained by one of them and the several parts into which the other is divided . Part . En . Let A and BC be ...
Página 88
... divided into two parts , the rectangle contained by the whole line and one of the parts is equal to the sum of the square on that part and the rectangle contained by the two parts . COR . 2. If a straight line is divided into two parts ...
... divided into two parts , the rectangle contained by the whole line and one of the parts is equal to the sum of the square on that part and the rectangle contained by the two parts . COR . 2. If a straight line is divided into two parts ...
Página 91
... divided in any point , the rectangle contained by the segments is equal to the difference of the squares on half the line and the line between the points of section . A B C P · A с в P Proof . For let AB be bisected in C , and divided ...
... divided in any point , the rectangle contained by the segments is equal to the difference of the squares on half the line and the line between the points of section . A B C P · A с в P Proof . For let AB be bisected in C , and divided ...
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Términos y frases comunes
ABCD angle ABC angle APB angle BAC base bisect bisector Book called centre chord circle circumference coincide College common Constr construct converse Crown 8vo diagonals diameter difference distance divided double draw Edition ELEMENTARY equal angles Euclid Examples exterior angle extremities fall figure Find follows four Geometry given angle given point given straight line greater half Hence Illustrations included inscribed interior intersect isosceles triangle Join length less Let ABC line drawn locus magnitudes measure meet middle point minor arc opposite sides parallel parallelogram pass perpendicular placed polygon PROBLEM produced Professor Proof proportional quadrilateral radius ratio rectangle contained rectilineal figure regular required to prove respectively right angles School segment Shew sides similar Similarly square supplementary tangent THEOREM third touch triangle ABC unequal
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