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, Edlemnts of Plane and Spherical TrigonometryW.E. Dean, 1836 - 311 páginas |
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Página 25
... opposite sides of a quadrilateral are equal and parallel , the remaining sides will also be equal and parallel , and the figure will be a parallelogram . COR . 2. And every quadrilateral , whose opposite sides are equal , is a ...
... opposite sides of a quadrilateral are equal and parallel , the remaining sides will also be equal and parallel , and the figure will be a parallelogram . COR . 2. And every quadrilateral , whose opposite sides are equal , is a ...
Página 38
... opposite to it less than the other given side ; make the angle CBA equal to the given angle , and take BA equal to the adjacent side ; then , the arc described from the centre A , with the radius AC equal to the opposite side , will cut ...
... opposite to it less than the other given side ; make the angle CBA equal to the given angle , and take BA equal to the adjacent side ; then , the arc described from the centre A , with the radius AC equal to the opposite side , will cut ...
Página 268
... opposite . Or if 90 ° -BC be the middle part , 90 — B , 90 ° -C are adjacent ; AC and AB opposite , & c . This arrangement being made , the rule of the circular part is contained in the following PROPOSITION . In a right angled ...
... opposite . Or if 90 ° -BC be the middle part , 90 — B , 90 ° -C are adjacent ; AC and AB opposite , & c . This arrangement being made , the rule of the circular part is contained in the following PROPOSITION . In a right angled ...
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ABC is equal ABCD adjacent angles altitude angle ABC angle ACB angle BAC angles equal arc AC base BC bisected centre chord circle ABC circumference cosine cylinder demonstrated diameter divided draw Prob 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 wherefore