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 σελίδες |
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Σελίδα 6
... angle . The side opposite the right angle is called the hypotenuse . 22. An obtuse angled triangle , is that which has an obtuse angle . AN 23. An acute angled triangle , is that which has three acute angles . 24. Of four sided ...
... angle . The side opposite the right angle is called the hypotenuse . 22. An obtuse angled triangle , is that which has an obtuse angle . AN 23. An acute angled triangle , is that which has three acute angles . 24. Of four sided ...
Σελίδα 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 ...
Σελίδα 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 ...
Σελίδα 11
... opposite to the equal sides ; namely , the angle BAC to the angle EDF , the angle ABC to DEF , and the angle ACB to DFE . B C E F For , conceive the two triangles to be joined ... angle BGA , and the angle OF GEOMETRY . BOOK I. 11.
... opposite to the equal sides ; namely , the angle BAC to the angle EDF , the angle ABC to DEF , and the angle ACB to DFE . B C E F For , conceive the two triangles to be joined ... angle BGA , and the angle OF GEOMETRY . BOOK I. 11.
Σελίδα 12
... angle BGA , and the angle CAG equal to the angle CGA , by equal additions ... opposite sides of it , make the adjacent angles together equal to two right ... opposite sides of AB , make the adjacent angles ABC , ABD equal ...
... angle BGA , and the angle CAG equal to the angle CGA , by equal additions ... opposite sides of it , make the adjacent angles together equal to two right ... opposite sides of AB , make the adjacent angles ABC , ABD equal ...
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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