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 σελίδες |
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Σελίδα 75
... less than a right angle ; and the angle in a segment less than a semicircle is greater than a right angle . Let ABCD be a circle , of which the diameter is BC , and centre E ; draw CA dividing the circle into the segments ABC , ADC ...
... less than a right angle ; and the angle in a segment less than a semicircle is greater than a right angle . Let ABCD be a circle , of which the diameter is BC , and centre E ; draw CA dividing the circle into the segments ABC , ADC ...
Σελίδα 209
... less than the cylinder generated by the rectangle DN , that is , by a solid less than W. Therefore , since the sum of the cylinders inscribed in the hemisphere , together with a solid less than W , is equal to the hemisphere ; and ...
... less than the cylinder generated by the rectangle DN , that is , by a solid less than W. Therefore , since the sum of the cylinders inscribed in the hemisphere , together with a solid less than W , is equal to the hemisphere ; and ...
Σελίδα 243
... less , or greater than a quadrant . The construction of the last proposition remaining , bisect the semicircle ACD in G , then AG will be an arc of 90 ° , and G will be the pole of the circle ABD . 1. Let AB , AC be each less than 90 ...
... less , or greater than a quadrant . The construction of the last proposition remaining , bisect the semicircle ACD in G , then AG will be an arc of 90 ° , and G will be the pole of the circle ABD . 1. Let AB , AC be each less than 90 ...
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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 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