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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Σελίδα 19
... drawn from a cer- tain point within the figure to the circumference , are equal to one another . XII . And this point is called the centre of the circle . XIII . A diameter of a circle is a straight line drawn through the centre , and ...
... drawn from a cer- tain point within the figure to the circumference , are equal to one another . XII . And this point is called the centre of the circle . XIII . A diameter of a circle is a straight line drawn through the centre , and ...
Σελίδα 21
... drawn from any one point to any other point . II . That a terminated straight line may be produced to any length in a straight line . III . And that a circle may be described from any centre , at any distance from that centre . AXIOMS ...
... drawn from any one point to any other point . II . That a terminated straight line may be produced to any length in a straight line . III . And that a circle may be described from any centre , at any distance from that centre . AXIOMS ...
Σελίδα 22
... draw a straight line equal to a given straight line . Let A be the given point , and BC the given straight line ; it is re- quired to draw , from the point A , a straight line equal to BC . From the point A to B draw ( 1. Post . ) the ...
... draw a straight line equal to a given straight line . Let A be the given point , and BC the given straight line ; it is re- quired to draw , from the point A , a straight line equal to BC . From the point A to B draw ( 1. Post . ) the ...
Σελίδα 23
... drawn equal to the given straight line BC . Which was to be done . PROP . III . PROB From the greater of two given ... draw ( 2. 1. ) the straight line AD equal to C ; and from the centre A , and at the distance AD , describe ( 3. Post ...
... drawn equal to the given straight line BC . Which was to be done . PROP . III . PROB From the greater of two given ... draw ( 2. 1. ) the straight line AD equal to C ; and from the centre A , and at the distance AD , describe ( 3. Post ...
Σελίδα 28
... draw a straight line from the point C at right angles to AB . Take any point D in AC , and ( 3. 1. ) make CE equal to CD , and upon DE describe ( 1. 1. ) the equilateral triangle DFE , and join FC ; the straight line FC , drawn from the ...
... draw a straight line from the point C at right angles to AB . Take any point D in AC , and ( 3. 1. ) make CE equal to CD , and upon DE describe ( 1. 1. ) the equilateral triangle DFE , and join FC ; the straight line FC , drawn from the ...
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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