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
... centre of the circle . XIII . A diameter of a circle is a straight line drawn through the centre , and terminated both ways by the circumference . XIV . A semicircle is the figure contained by a diameter and the part of the ...
... centre of the circle . XIII . A diameter of a circle is a straight line drawn through the centre , and terminated both ways by the circumference . XIV . A semicircle is the figure contained by a diameter and the part of the ...
Σελίδα 21
... 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 added to equals , the wholes are equal . III . If equals be taken from equals , the remainders ...
... 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 added to equals , the wholes are equal . III . If equals be taken from equals , the remainders ...
Σελίδα 22
... centre A , at the distance AB , describe ( 3. Pos- tulate ) the circle BCD , and from the centre B , at the dis- tance BA , describe the circle ACE ; and from the point C , in which the circles cut one ano- ther , draw the straight ...
... centre A , at the distance AB , describe ( 3. Pos- tulate ) the circle BCD , and from the centre B , at the dis- tance BA , describe the circle ACE ; and from the point C , in which the circles cut one ano- ther , draw the straight ...
Σελίδα 23
... centre A , and at the distance AD , describe ( 3. Post . ) the circle DEF ; and because A is the centre of the circle DEF , AE is 이 D A E B F equal to AD ; but the straight line C is likewise equal to AD ; whence AE and C are each of ...
... centre A , and at the distance AD , describe ( 3. Post . ) the circle DEF ; and because A is the centre of the circle DEF , AE is 이 D A E B F equal to AD ; but the straight line C is likewise equal to AD ; whence AE and C are each of ...
Σελίδα 29
... centre C , at the distance CD , describe ( 3. Post . ) the circle C produced to any It is required to E EGF meeting AB in F , G ; and bisect ( 10. 1. ) FG in H , and join CF , CH , CG ; the straight A F H Ꮐ B D line CH , drawn from the ...
... centre C , at the distance CD , describe ( 3. Post . ) the circle C produced to any It is required to E EGF meeting AB in F , G ; and bisect ( 10. 1. ) FG in H , and join CF , CH , CG ; the straight A F H Ꮐ B D line CH , 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