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 TrigonometryW.E. Dean, 1839 - 318 sider |
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Resultat 1-5 av 83
Side 20
... besides these , are called Trapeziums . XXX . Parallel straight lines , are such as are in the same plane , and which being produced ever so far both ways , do not meet . POSTULATES . I. LET it be granted that a straight 20 ELEMENTS.
... besides these , are called Trapeziums . XXX . Parallel straight lines , are such as are in the same plane , and which being produced ever so far both ways , do not meet . POSTULATES . I. LET it be granted that a straight 20 ELEMENTS.
Side 21
... 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 . I. THINGS which are equal to the same thing are equal to one another . II . If equals 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 . I. THINGS which are equal to the same thing are equal to one another . II . If equals be ...
Side 22
... produce ( 2. Post . ) the straight lines DA , BD , to E and F ; from the center B , at the distance BC , describe ( 3. Post . ) the circle CGH , and from the centre D , at the distance DG , describe the circle GKL . AL is equal to BC ...
... produce ( 2. Post . ) the straight lines DA , BD , to E and F ; from the center B , at the distance BC , describe ( 3. Post . ) the circle CGH , and from the centre D , at the distance DG , describe the circle GKL . AL is equal to BC ...
Side 24
... produced , the angles upon the other side of the base shall also be equal . Let ABC be an isosceles triangle of which the side AB is equal to AC , and let the straight lines AB , AC be produced to D and E , the angle ABC shall be equal ...
... produced , the angles upon the other side of the base shall also be equal . Let ABC be an isosceles triangle of which the side AB is equal to AC , and let the straight lines AB , AC be produced to D and E , the angle ABC shall be equal ...
Side 26
... produce AC , AD , to E , F ; therefore , because AC is equal to AD in the triangle ACD , the angles ECD , FDC upon the other side of the base CD are equal ( 5. 1. ) to one another , but the angleECD is greater than the angle BCD ...
... produce AC , AD , to E , F ; therefore , because AC is equal to AD in the triangle ACD , the angles ECD , FDC upon the other side of the base CD are equal ( 5. 1. ) to one another , but the angleECD is greater than the angle BCD ...
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Vanlige uttrykk og setninger
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 opposite angle parallel parallelogram parallelopipeds perpendicular polygon prism PROB produced proportional 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 parallelopipeds spherical angle spherical triangle square straight line AC THEOR third touches the circle triangle ABC triangle DEF wherefore