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 TrigonometryCollins & Hannay, 1860 - 333 σελίδες |
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Σελίδα 78
... draw DH at right angles to AG ; and because the angle DHA is a right angle , and the angle DAH less than a right ... draw a straight line from a given point either without or in the cir cumference , which shall touch a given circle ...
... draw DH at right angles to AG ; and because the angle DHA is a right angle , and the angle DAH less than a right ... draw a straight line from a given point either without or in the cir cumference , which shall touch a given circle ...
Σελίδα 186
... draw any straight line BC , and from the point A draw ( 12. - 1 . ) AD perpendicular to BC . If then AD be also perpendicu lar to the plaue BH , the thing required is already done ; but if it be not , from the point D draw ( 11. 1 ...
... draw any straight line BC , and from the point A draw ( 12. - 1 . ) AD perpendicular to BC . If then AD be also perpendicu lar to the plaue BH , the thing required is already done ; but if it be not , from the point D draw ( 11. 1 ...
Σελίδα 191
... draw DE perpendicular to AD , and DF to DC . Because DE is perpendicular to AD , the common section of the planes AB ... draw a straight line perpendicular to them both . Let AB and CD be the given lines , which are not in the same plane ...
... draw DE perpendicular to AD , and DF to DC . Because DE is perpendicular to AD , the common section of the planes AB ... draw a straight line perpendicular to them both . Let AB and CD be the given lines , which are not in the same plane ...
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ABC is equal ABCD altitude angle ABC angle ACB angle BAC angle EDF arch AC base BC bisected centre circle ABC circumference cosine cylinder demonstrated diameter draw equal and similar equal angles equiangular equilateral equilateral polygon equimultiples Euclid exterior angle fore four right angles given straight line greater hypotenuse inscribed join less Let ABC Let the straight line BC magnitudes meet multiple opposite angle parallel parallelogram perpendicular polygon prism PROB produced proportionals proposition Q. E. D. COR Q. E. D. PROP radius ratio rectangle contained rectilineal figure remaining angle segment semicircle side BC sine solid angle solid parallelopipeds spherical angle spherical triangle straight line AC THEOR third touches the circle triangle ABC triangle DEF wherefore