## Elements of Geometry and Trigonometry |

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Page 107

A F B We might here take AF - AD , and actually apply it upon AB ; we should find it to be contained twice with a remainder : but as that remainder , and those which succeed it ,

A F B We might here take AF - AD , and actually apply it upon AB ; we should find it to be contained twice with a remainder : but as that remainder , and those which succeed it ,

**conE**tinue diminishing , and would soon elude our ... Page 166

A

A

**cone**is the solid generated by the revolution of a rightangled triangle SAB , conceived to turn about the immoveable side SA . In this movement , the side AB describes a circle BDCE , named the buse of the**cone**; the hypothenuse SB ... Page 167

Two cylinders , or two

Two cylinders , or two

**cones**, are similar , when their axes are to each other as the diameters of their bases . 5. ... If in the circle ABCDE , which forms the base of a**cone**, any polygon ABCDE be inscribed , and from the vertices A ... Page 168

The Cylinder , the

The Cylinder , the

**Cone**, and the Sphere , are the three round bodies treated of in the Elements of Geometry . PROPOSITION I. THEOREM . The convex surface of a cylinder 168 GEOMETRY . Page 171

The convex surface of a

The convex surface of a

**cone**is equal to the circumference of its base , multiplied by half its side . G Let the circle ABCD be the base of a**cone**, S the vertex , SO the altitude , and SA the side then will its convex surface be equal ...### What people are saying - Write a review

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### Common terms and phrases

ABCD adjacent altitude base become Book called centre chord circle circumference circumscribed common cone consequently contained Cosine Cotang cylinder described determine diameter difference distance divided draw drawn equal equations equivalent expressed extremities faces feet figure follows formed four frustum give given gles greater half hence homologous hypothenuse included inscribed intersection less let fall logarithm manner means measured meet middle multiplied number of sides opposite parallel parallelogram pass perpendicular plane polygon prism PROBLEM Prop proportional PROPOSITION pyramid quadrant quantities radii radius ratio reason rectangle regular remaining right angles Scholium segment sides similar Sine solid solid angle sphere spherical triangle square straight line suppose taken Tang tangent THEOREM third triangle triangle ABC unit vertex whole