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 1 - 5 από τα 74.
Σελίδα 22
... a given finite straight line Let AB be the given straight line ; it is required to describe an equilateral triangle upon it . From the centre A , at the distance AB , describe ( 3. Pos- tulate ) the circle BCD , and from the centre B ...
... a given finite straight line Let AB be the given straight line ; it is required to describe an equilateral triangle upon it . From the centre A , at the distance AB , describe ( 3. Pos- tulate ) the circle BCD , and from the centre B ...
Σελίδα 23
... straight line AL is equal to BC . Wherefore , from the given point A , a straight line AL has been drawn equal to the given straight line BC . Which was to be done . PROP . III . PROB From the greater of two given straight lines to cut off ...
... straight line AL is equal to BC . Wherefore , from the given point A , a straight line AL has been drawn equal to the given straight line BC . Which was to be done . PROP . III . PROB From the greater of two given straight lines to cut off ...
Σελίδα 27
... straight line BC upon EF ; the point C shall also coincide with the point F , because BC is equal to EF : therefore ... given rectilineal angle , that is , to divide it into two equal angles . Let BAC be the given rectilineal angle ...
... straight line BC upon EF ; the point C shall also coincide with the point F , because BC is equal to EF : therefore ... given rectilineal angle , that is , to divide it into two equal angles . Let BAC be the given rectilineal angle ...
Σελίδα 28
... given finite straight line , that is , to divide it into two equal parts . Let AB be the given straight line ; it is required to divide it into two equal parts . Describe ( 1. 1. ) upon it an equilateral triangle ABC , and bisect ( 9 ...
... given finite straight line , that is , to divide it into two equal parts . Let AB be the given straight line ; it is required to divide it into two equal parts . Describe ( 1. 1. ) upon it an equilateral triangle ABC , and bisect ( 9 ...
Σελίδα 29
... straight line perpendicular to a given straight line , of an unlimited length , from a given point without it . Let AB be a given straight line , which may be produced to any length both ways , and let C be a point without it . It is ...
... straight line perpendicular to a given straight line , of an unlimited length , from a given point without it . Let AB be a given straight line , which may be produced to any length both ways , and let C be a point without it . It is ...
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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 definition 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 MDCCCXX 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