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 sider |
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Resultat 1-5 av 68
Side xiii
... arches , which are the ounda- tion of those applications of Trigonometry lately in- troduced , with so much advantage , into the higher Geometry . In the Spherical Trigonometry , the rules for pre- renting the ambiguity of the solutions ...
... arches , which are the ounda- tion of those applications of Trigonometry lately in- troduced , with so much advantage , into the higher Geometry . In the Spherical Trigonometry , the rules for pre- renting the ambiguity of the solutions ...
Side 66
... arch of a circle is any part of the circumference . V. A segment of a circle is the figure con- tained by a straight line , and the arch which it cuts off . 1 VI . An angle in a segment is the angle ELEMENTS.
... arch of a circle is any part of the circumference . V. A segment of a circle is the figure con- tained by a straight line , and the arch which it cuts off . 1 VI . An angle in a segment is the angle ELEMENTS.
Side 67
... arch intercepted between the straight lines which contain the angle . VIII . The sector of a circle is the figure con- tained by two straight lines drawn from the centre , and the arch of the circum- ference between them . IX . Similar ...
... arch intercepted between the straight lines which contain the angle . VIII . The sector of a circle is the figure con- tained by two straight lines drawn from the centre , and the arch of the circum- ference between them . IX . Similar ...
Side 83
... arches , whether they be at the centres or circumferences . Let ABC , DEF be equal circles , and the equal angles BGC , EHF at their centres , and BAC , EDF at their circumferences : the arch BKC is equal to the arch ELF . Join BC , EF ...
... arches , whether they be at the centres or circumferences . Let ABC , DEF be equal circles , and the equal angles BGC , EHF at their centres , and BAC , EDF at their circumferences : the arch BKC is equal to the arch ELF . Join BC , EF ...
Side 84
... arches ( 26. 3. ) , when they are at the centre , the arch BK is equal to the arch EF : but EF is equal to BC ; therefore also BK is equal to BC , the less to the greater , which is impossible . Therefore the angle BGC is not unequal to ...
... arches ( 26. 3. ) , when they are at the centre , the arch BK is equal to the arch EF : but EF is equal to BC ; therefore also BK is equal to BC , the less to the greater , which is impossible . Therefore the angle BGC is not unequal to ...
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Vanlige uttrykk og setninger
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