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 TrigonometryW.E. Dean, 1836 - 311 páginas |
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Página 12
... Let the straight line AB make with CD , upon one side of it the angles CBA , ABD ; these are either two right angles ... let BE be perpendicular to DC at the point B. The angle DBA is the sum of the angles DBE , ЕВА : therefore ...
... Let the straight line AB make with CD , upon one side of it the angles CBA , ABD ; these are either two right angles ... let BE be perpendicular to DC at the point B. The angle DBA is the sum of the angles DBE , ЕВА : therefore ...
Página 19
... straight line falling upon two other straight lines makes the alternate angles equal to one another , these two straight lines are parallel . Let the straight line EF , which falls upon the two straight lines AB , CD make the alternate ...
... straight line falling upon two other straight lines makes the alternate angles equal to one another , these two straight lines are parallel . Let the straight line EF , which falls upon the two straight lines AB , CD make the alternate ...
Página 69
... straight line touch a circle , the straight line drawn from the centre to the point of contact , is perpendicular to the line touching the circle . Let the straight line DE touch the circle ABC in the point C ; take the centre F , and ...
... straight line touch a circle , the straight line drawn from the centre to the point of contact , is perpendicular to the line touching the circle . Let the straight line DE touch the circle ABC in the point C ; take the centre F , and ...
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Términos y frases comunes
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 definition 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 spherical angle spherical triangle square straight line BC THEOR third touches the circle triangle ABC triangle DEF wherefore