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 páginas |
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Página 35
... centre F , at the distance . FD , describe ( 3. Post ) the circle DKL ; and from the centre G , at the dis- tance GH , describe ( 3 . Post . ) another circle HLK ; and join KF , KG ; the tri- angle KFG has its sides equal to the three ...
... centre F , at the distance . FD , describe ( 3. Post ) the circle DKL ; and from the centre G , at the dis- tance GH , describe ( 3 . Post . ) another circle HLK ; and join KF , KG ; the tri- angle KFG has its sides equal to the three ...
Página 63
... centre G , at the distance GB , or GF , describe the semicircle BHF and produce DE to H , and join GH . Therefore , because the straight line BF is divided into two equal parts in the point G , and into two unequal in the point E , the ...
... centre G , at the distance GB , or GF , describe the semicircle BHF and produce DE to H , and join GH . Therefore , because the straight line BF is divided into two equal parts in the point G , and into two unequal in the point E , the ...
Página 66
... centre of a circle , when the perpendiculars drawn to them from the centre are equal . IV . And the straight line on which the great- er perpendicular falls , is said to be farther from the centre B. An arch of a circle is any part of ...
... centre of a circle , when the perpendiculars drawn to them from the centre are equal . IV . And the straight line on which the great- er perpendicular falls , is said to be farther from the centre B. An arch of a circle is any part of ...
Página 67
... centre , and the arch of the circum- ference between them . IX . Similar segments of a circle , are those in which the an- gles are equal , or which contain equal angles . PROP . 1. PROB . To find the centre of a given circle . Let ABC ...
... centre , and the arch of the circum- ference between them . IX . Similar segments of a circle , are those in which the an- gles are equal , or which contain equal angles . PROP . 1. PROB . To find the centre of a given circle . Let ABC ...
Página 68
... centre of the circle ABC In the same manner , it can be shown , that no other point but F is the centre : that is , F is the centre of the circle ABC : Which was to be found . COR . From this it is manifest that if in a circle a ...
... centre of the circle ABC In the same manner , it can be shown , that no other point but F is the centre : that is , F is the centre of the circle ABC : Which was to be found . COR . From this it is manifest that if in a circle a ...
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Términos y frases comunes
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