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 28
... called a right ( 7. def . ) angle ; therefore each of the angles DCF , ECF , is a right angle . Wherefore , from the given point C , in the given straight line AB , FC , has been drawn at right angles to AB . Which was to be done . PROP ...
... called a right ( 7. def . ) angle ; therefore each of the angles DCF , ECF , is a right angle . Wherefore , from the given point C , in the given straight line AB , FC , has been drawn at right angles to AB . Which was to be done . PROP ...
Σελίδα 29
... called a perpendicular to it ; therefore from the given point C a perpendicular CH has been drawn to the given straight line AB . Which was to be done . PROP . XIII . THEOR . The angles which one straight line makes with another upon ...
... called a perpendicular to it ; therefore from the given point C a perpendicular CH has been drawn to the given straight line AB . Which was to be done . PROP . XIII . THEOR . The angles which one straight line makes with another upon ...
Σελίδα 48
... called the complements : The complement BK is equal to the com- plement KD . A H D E K F B Ꮐ Because ABCD is a parallelogram and AC its diameter , the triangle ABC is equal ( 34. 1. ) to the triangle ADC And because EKHA is a pa ...
... called the complements : The complement BK is equal to the com- plement KD . A H D E K F B Ꮐ Because ABCD is a parallelogram and AC its diameter , the triangle ABC is equal ( 34. 1. ) to the triangle ADC And because EKHA is a pa ...
Σελίδα 53
... called a Gno- mon . " Thus the parallelo- " gram HG , together with the " complements AF , FC , is the ઃઃ gnomon of the parallelogram " AC , This gnomon may also , " for the sake of brevity , be " called the gnomon AGK or " EHC ...
... called a Gno- mon . " Thus the parallelo- " gram HG , together with the " complements AF , FC , is the ઃઃ gnomon of the parallelogram " AC , This gnomon may also , " for the sake of brevity , be " called the gnomon AGK or " EHC ...
Σελίδα 110
... called quadruplicate of the ratio of the first to the " second ; and so on , according to the number of ratios . Hence , a " ratio compounded of three equal ratios is triplicate of any one of " those ratios ; a ratio compounded of four ...
... called quadruplicate of the ratio of the first to the " second ; and so on , according to the number of ratios . Hence , a " ratio compounded of three equal ratios is triplicate of any one of " those ratios ; a ratio compounded of four ...
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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