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 sider |
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Side 4
... angle is the inclination of two straight lines to one another , which meet together , but are not in the same ... ABC , or CBA ; that which is contained by AB , * The definitions marked with inverted commas are different from those of Euclid ...
... angle is the inclination of two straight lines to one another , which meet together , but are not in the same ... ABC , or CBA ; that which is contained by AB , * The definitions marked with inverted commas are different from those of Euclid ...
Side 9
... angle BAC be also equal to the angle EDF : then shall the base BC be equal to the base EF ; and the triangle ABC to the triangle DEF ; and the other angles , to which the equal sides are opposite , shall be equal , each to each , viz . the ...
... angle BAC be also equal to the angle EDF : then shall the base BC be equal to the base EF ; and the triangle ABC to the triangle DEF ; and the other angles , to which the equal sides are opposite , shall be equal , each to each , viz . the ...
Side 10
... angle BAC = DEF . PROP . III . THEOR . The angles at the base of an isosceles triangle are equal to one another : namely , those to which the equal sides are opposite . If the triangle ABC have the side AC equal to the side BC : then will ...
... angle BAC = DEF . PROP . III . THEOR . The angles at the base of an isosceles triangle are equal to one another : namely , those to which the equal sides are opposite . If the triangle ABC have the side AC equal to the side BC : then will ...
Side 11
... ABC , DEF , have their three sides respectively equal , that is , the side ... angle BAC to the angle EDF , the angle ABC to DEF , and the angle ACB to DFE . B C E F For , conceive the ... angle BGA , and the angle OF GEOMETRY . BOOK I. 11.
... ABC , DEF , have their three sides respectively equal , that is , the side ... angle BAC to the angle EDF , the angle ABC to DEF , and the angle ACB to DFE . B C E F For , conceive the ... angle BGA , and the angle OF GEOMETRY . BOOK I. 11.
Side 12
... angle BGA , and the angle CAG equal to the angle CGA , by equal additions , the sum of the two angles BAG , CAG , is ... ABC equal to GBC , and the angle ACB equal to the angle GCB . PROP . VI . THEOR . The angles which one straight line ...
... angle BGA , and the angle CAG equal to the angle CGA , by equal additions , the sum of the two angles BAG , CAG , is ... ABC equal to GBC , and the angle ACB equal to the angle GCB . PROP . VI . THEOR . The angles which one straight line ...
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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