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Side 112
James Maurice Wilson. 54. AB is divided into two unequal parts in Cand equal parts in D ; shew that the squares on AC and BC are greater than twice the rectangle AC × CB by four times the square on CD . 55. In any right - angled triangle ...
James Maurice Wilson. 54. AB is divided into two unequal parts in Cand equal parts in D ; shew that the squares on AC and BC are greater than twice the rectangle AC × CB by four times the square on CD . 55. In any right - angled triangle ...
Side 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 ...
Side 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 ...
Side 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 ...
Side 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 C P B А C B 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 C P B А C B P Proof . For let AB be bisected in C , and divided ...
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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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