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 22
... triangle upon a given finite straight line Let AB be the given straight line ; it is required to describe an equilateral ... ABC is an equilateral triangle . D A B E Because the point A is the centre of the circle BCD , AC is equal ( 11 ...
... triangle upon a given finite straight line Let AB be the given straight line ; it is required to describe an equilateral ... ABC is an equilateral triangle . D A B E Because the point A is the centre of the circle BCD , AC is equal ( 11 ...
Σελίδα 23
... Geometry of Solids ; to which are Added Elements of Plane and Spherical Trigonometry John Playfair. the remainder AL is ... triangle ABC to the tri- angle DEF ; and the D other angles , to which B E F the equal sides are op- * The three ...
... Geometry of Solids ; to which are Added Elements of Plane and Spherical Trigonometry John Playfair. the remainder AL is ... triangle ABC to the tri- angle DEF ; and the D other angles , to which B E F the equal sides are op- * The three ...
Σελίδα 24
... Geometry of Solids ; to which are Added Elements of Plane and Spherical Trigonometry John Playfair. posite , shall be equal , each to each , viz . the angle ABC to the angle DEF , and the angle ACB to DFE . For , if the triangle ABC be ...
... Geometry of Solids ; to which are Added Elements of Plane and Spherical Trigonometry John Playfair. posite , shall be equal , each to each , viz . the angle ABC to the angle DEF , and the angle ACB to DFE . For , if the triangle ABC be ...
Σελίδα 25
... triangle is also equiangular . PROP . VI . THEOR . If two angles of a triangle be equal to one another , the sides which sub- tend , or are opposite to them , are also equal to one another . Let ABC be a triangle having the angle ABC ...
... triangle is also equiangular . PROP . VI . THEOR . If two angles of a triangle be equal to one another , the sides which sub- tend , or are opposite to them , are also equal to one another . Let ABC be a triangle having the angle ABC ...
Σελίδα 26
... triangle ACB ; produce AC , AD to E , F ; therefore , because AC is equal to AD in the triangle ACD , the angles ECD ... ABC , DEF be two triangles having the two sides AB , AC , equal to the two sides DE , DF , each to each , viz . AB ...
... triangle ACB ; produce AC , AD to E , F ; therefore , because AC is equal to AD in the triangle ACD , the angles ECD ... ABC , DEF be two triangles having the two sides AB , AC , equal to the two sides DE , DF , each to each , viz . AB ...
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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