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 TrigonometryB. & S. Collins; W. E. Dean, printer, 1836 - 311 páginas |
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Página 9
... Circle, and the Geometry of Solids; to which are Added, Elements of Plane ... ABC , DEF be two triangles which have the two sides AB , AC equal to the two ... ABC to the triangle DEF ; and the other angles , to which the equal sides are ...
... Circle, and the Geometry of Solids; to which are Added, Elements of Plane ... ABC , DEF be two triangles which have the two sides AB , AC equal to the two ... ABC to the triangle DEF ; and the other angles , to which the equal sides are ...
Página 10
... Circle, and the Geometry of Solids; to which are Added, Elements of Plane ... ABC have the side AC equal to the side BC : then will the angle B be equal ... ABC be a triangle having the angle ABC equal to the angle ACB ; the side AB is ...
... Circle, and the Geometry of Solids; to which are Added, Elements of Plane ... ABC have the side AC equal to the side BC : then will the angle B be equal ... ABC be a triangle having the angle ABC equal to the angle ACB ; the side AB is ...
Página 11
... Circle, and the Geometry of Solids; to which are Added, Elements of Plane ... ABC , DEF , have their three sides respectively equal , that is , the side ... ABC to DEF , and the angle ACB to DFE . B C E F For , conceive the two triangles ...
... Circle, and the Geometry of Solids; to which are Added, Elements of Plane ... ABC , DEF , have their three sides respectively equal , that is , the side ... ABC to DEF , and the angle ACB to DFE . B C E F For , conceive the two triangles ...
Página 12
... Circle, and the Geometry of Solids; to which are Added, Elements of Plane ... ABC equal to GBC , and the angle ACB equal to the angle GCB . PROP . VI ... ABC is the sum of the three angles DBE , EBA , ABC : but the first of those three ...
... Circle, and the Geometry of Solids; to which are Added, Elements of Plane ... ABC equal to GBC , and the angle ACB equal to the angle GCB . PROP . VI ... ABC is the sum of the three angles DBE , EBA , ABC : but the first of those three ...
Página 13
... Circle, and the Geometry of Solids; to which are Added, Elements of Plane and Spherical Trigonometry John Playfair. A ... ABC , ABE are to- gether equal ( 6. 1. ) to two right an- gles ; but the angles ABC , ABD are likewise together ...
... Circle, and the Geometry of Solids; to which are Added, Elements of Plane and Spherical Trigonometry John Playfair. A ... ABC , ABE are to- gether equal ( 6. 1. ) to two right an- gles ; but the angles ABC , ABD are likewise together ...
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ABC is equal ABCD adjacent angles altitude angle ABC angle ACB angle BAC angles equal base BC bisected centre chord circle ABC circumference cosine cylinder demonstrated diameter divided equal and similar equal angles equiangular equilateral equilateral polygon equimultiples Euclid exterior angle fore four right angles given straight line greater Hence hypotenuse inscribed join less Let ABC Let the straight magnitudes meet multiple opposite angle parallel parallelogram parallelopiped perpendicular polygon prism PROP proposition quadrilateral radius ratio rectangle contained rectilineal figure remaining angle right angled triangle SCHOLIUM segment semicircle shewn side BC sine solid angle solid parallelopiped spherical angle spherical triangle square straight line BC THEOR third touches the circle triangle ABC triangle DEF wherefore