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 |
Αναζήτηση στο βιβλίο
Σελίδα 17
... extremities of a line are points ; and the inter- " sections of one line with another are also points . " III . " If two lines are such that they cannot coincide in any two points , " without coinciding altogether , each of them is ...
... extremities of a line are points ; and the inter- " sections of one line with another are also points . " III . " If two lines are such that they cannot coincide in any two points , " without coinciding altogether , each of them is ...
Σελίδα 25
... extremity of the base equal to one another , and likewise those which are terminated in the other extremity , equal to one another . Let there be two triangles ACB , ADB , upon the same base AB , and upon the same side of it , which ...
... extremity of the base equal to one another , and likewise those which are terminated in the other extremity , equal to one another . Let there be two triangles ACB , ADB , upon the same base AB , and upon the same side of it , which ...
Σελίδα 26
... extremity of the base equal to one another , and likewise those which are terminated in the other extremity equal to one another . Q. E. D. PROP . VIII . THEOR . If two triangles have two sides of the one equal to two sides of the ...
... extremity of the base equal to one another , and likewise those which are terminated in the other extremity equal to one another . Q. E. D. PROP . VIII . THEOR . If two triangles have two sides of the one equal to two sides of the ...
Σελίδα 27
... extremity of the base equal to one another , and likewise their sides terminated in the other extremity ; but this is impossible ( 7. 1. ) ; therefore , if the base BC coincides with the base EF , the sides BA , AC cannot but coincide ...
... extremity of the base equal to one another , and likewise their sides terminated in the other extremity ; but this is impossible ( 7. 1. ) ; therefore , if the base BC coincides with the base EF , the sides BA , AC cannot but coincide ...
Σελίδα 43
... extremities of two equal and parallel straight lines , towards the same parts , are also themselves equal and parallel . Let AB , CD , be equal and parallel straight lines , and joined towards the same parts by the straight lines AC ...
... extremities of two equal and parallel straight lines , towards the same parts , are also themselves equal and parallel . Let AB , CD , be equal and parallel straight lines , and joined towards the same parts by the straight lines AC ...
Άλλες εκδόσεις - Προβολή όλων
Συχνά εμφανιζόμενοι όροι και φράσεις
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