Elements of Geometry: Containing the First Six Books of Euclid, with a Supplement on the Quadrature of the Circle and the Geometry of Solids ; to which are Added Elements of Plane and Spherical TrigonometryE. Duyckinck, and George Long, 1824 - 333 σελίδες |
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Αποτελέσματα 16 - 20 από τα 74.
Σελίδα 63
... straight line between the perpendicular and the acute angle at B ; and it is manifest that ( 47. 1. ) AB + BC2 = AC2 ... given rectilineal figure . Let A be the given rectilineal figure ; it is required to describe a square that shall be ...
... straight line between the perpendicular and the acute angle at B ; and it is manifest that ( 47. 1. ) AB + BC2 = AC2 ... given rectilineal figure . Let A be the given rectilineal figure ; it is required to describe a square that shall be ...
Σελίδα 64
... A ; therefore the rectilineal figure A is equal to the square of EH : Wherefore a square has been made equal to the given ... line drawn from the point of bisection to the opposite an- gle of the triangle . Let ABC be a triangle , of which ...
... A ; therefore the rectilineal figure A is equal to the square of EH : Wherefore a square has been made equal to the given ... line drawn from the point of bisection to the opposite an- gle of the triangle . Let ABC be a triangle , of which ...
Σελίδα 67
... straight line which is the base of the segment . VII . And an angle is said to insist or stand upon the arch ... given circle . Let ABC be the given circle ; it is required to find its centre . Draw within it any straight line AB , and ...
... straight line which is the base of the segment . VII . And an angle is said to insist or stand upon the arch ... given circle . Let ABC be the given circle ; it is required to find its centre . Draw within it any straight line AB , and ...
Σελίδα 78
... given point , either without or in the cir- cumference , which shall touch a given circle . First , Let A be a given point without the given circle BCD ; it is required to draw a straight line from A which shall ... a straight line ELEMENTS.
... given point , either without or in the cir- cumference , which shall touch a given circle . First , Let A be a given point without the given circle BCD ; it is required to draw a straight line from A which shall ... a straight line ELEMENTS.
Σελίδα 82
... straight line BCD , and join CA , DA ' : and because the segment ACB is similar to the segment ADB , and similar ... given , to describe the circle of which it is the segment . Let ABC be the given segment of a circle ; it is required to ...
... straight line BCD , and join CA , DA ' : and because the segment ACB is similar to the segment ADB , and similar ... given , to describe the circle of which it is the segment . Let ABC be the given segment of a circle ; it is required to ...
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ABC is equal ABCD altitude angle ABC angle ACB angle BAC angle EDF arch AC base BC bisected centre circle ABC circumference cosine cylinder demonstrated diameter draw equal angles equiangular equilateral equilateral polygon equimultiples Euclid exterior angle fore four right angles given straight line greater hypotenuse inscribed join less Let ABC Let the straight line BC magnitudes meet multiple opposite angle parallel parallelepipeds parallelogram perpendicular polygon prism PROB produced proportionals proposition Q. E. D. COR Q. E. D. PROP radius ratio rectangle contained rectilineal figure remaining angle segment semicircle shewn side BC sine solid angle solid parallelepipeds spherical angle spherical triangle straight line AC THEOR third touches the circle triangle ABC triangle DEF wherefore