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 TrigonometryLippincott, Grambo & Company, 1854 - 317 sider |
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Side 8
... angle is the inclination of two straight lines to one another , which meet ... angle meet one another , is put between the other two letters , and one of these ... ABC , or CBA ; that which is contained by AB , The definitions marked with ...
... angle is the inclination of two straight lines to one another , which meet ... angle meet one another , is put between the other two letters , and one of these ... ABC , or CBA ; that which is contained by AB , The definitions marked with ...
Side 13
... angle BAC be also equal to the angle EDF : then shall he base BC be equal to the base EF ; and the tri- angle ABC to the triangle DEF ; and the other an- gles , to which the equal sides are opposite , shall be equal , each to each , AA ...
... angle BAC be also equal to the angle EDF : then shall he base BC be equal to the base EF ; and the tri- angle ABC to the triangle DEF ; and the other an- gles , to which the equal sides are opposite , shall be equal , each to each , AA ...
Side 14
... angle BAC is equal to the angle EDF ; wherefore also the point C shall coincide with the point F , because AC is equal to DF : But the point B coincides with the point E ; wherefore the base BC ... triangle ABC : And it has also 14 ELEMENTS.
... angle BAC is equal to the angle EDF ; wherefore also the point C shall coincide with the point F , because AC is equal to DF : But the point B coincides with the point E ; wherefore the base BC ... triangle ABC : And it has also 14 ELEMENTS.
Side 15
... angle FBC is equal to the angle GCB , which are the angles upon the other side of the base . COROLLARY . Hence every ... ABC be a triangle having the angle ABC equal to the angle ACB ; the side AB is also equal to the side AC . For , if ...
... angle FBC is equal to the angle GCB , which are the angles upon the other side of the base . COROLLARY . Hence every ... ABC be a triangle having the angle ABC equal to the angle ACB ; the side AB is also equal to the side AC . For , if ...
Side 16
... angle BAC is equal to the angle EDF . For , if the triangle ABC be applied to the triangle DEF , so that the point B be on E , and the straight line BC upon EF ; the point C shall also coincide with the point F , because BC is equal to ...
... angle BAC is equal to the angle EDF . For , if the triangle ABC be applied to the triangle DEF , so that the point B be on E , and the straight line BC upon EF ; the point C shall also coincide with the point F , because BC is equal to ...
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Vanlige uttrykk og setninger
ABC is equal ABCD adjacent angles altitude angle ABC angle ACB angle BAC base BC bisected centre chord circle ABC circumference cosine cylinder demonstrated described diameter divided draw equal and similar equal angles equiangular equilateral equilateral polygon equimultiples Euclid exterior angle fore four right angles given rectilineal 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 PROB PROP proportional 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 touches the circle triangle ABC triangle DEF wherefore