## Elements of Geometry |

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A

A

**solid**is that which unites the three dimensions of exension . ... from each other as to their position , is called an**angle**; the point of meeting or intersection , A , is the vertex of the**angle**; the lines AB , AC , are its sides . Page 69

Join AE , and the triangles ABD , AEC , are right -

Join AE , and the triangles ABD , AEC , are right -

**angled**, the one at D , and the other at A ; moreover the**angle**B = E ... The product of three lines is sometimes called a**solid**, for a reason that will be given hereafter . Page 106

Let there be , in the circle of the same perimeter , the

Let there be , in the circle of the same perimeter , the

**angle**DOE = ACI , and consequently the arc DE equal to the half side Al ; the polygon P : circle C :: triangle ACI : sector ODE ... Of Planes and**Solid**106 Elements of Geometry . Page 107

Of Planes and

Of Planes and

**Solid Angles**. ... This being premised , the angle , or the mutual inclination of two planes , is the quantity , whether greater or less , by which they depart from each other ; this quantity is measured by the angle ... Page 109

Through a point Q , taken at pleasure in PQ , draw the straight line BC in the

Through a point Q , taken at pleasure in PQ , draw the straight line BC in the

**angle**BPC , making BQ = QC ( 242 ) ; join AB , AQ , AC . The base BC being bisected at the ... Oblique lines equally distant Of Planes and**Solid**Ingles . 109.### What people are saying - Write a review

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### Common terms and phrases

ABC fig ABCD adjacent altitude applied base called centre chord circ circle circumference circumscribed common cone consequently construction contained convex surface Corollary cylinder Demonstration described diameter difference distance divided draw drawn entire equal equivalent example extremities faces feet figure follows formed four give given greater half hence inclination inscribed intersection isosceles join less let fall manner mean measure meet moreover multiplied namely opposite parallel parallelogram parallelopiped pass perimeter perpendicular plane plane angles polyedron polygon prism PROBLEM produced proportional proposition pyramid radii radius ratio reason rectangle regular polygon respect right angles Scholium sector segment similar solid angle Solution sphere spherical square straight line suppose surface taken tangent THEOREM third triangle ABC vertex vertices whence