## Elements of Geometry and Trigonometry |

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Page 9

A

A

**surface**is that which has length and breadth , without height or thickness . 6. A plane is a**surface**, in which , if two points be assumed at pleasure , and connected by a straight line , that line will lie wholly in the**surface**. 7. Page 41

... and is formed by two chords . B an arc . The chord , or subtense of an arc , is the straight line FG , which joins its two extremities . † 4. A segment is the

... and is formed by two chords . B an arc . The chord , or subtense of an arc , is the straight line FG , which joins its two extremities . † 4. A segment is the

**surface**or portion of a circle , included between an arc and its chord . Page 68

The area and

The area and

**surface**of a figure , are terms very nearly synonymous . The area designates more particularly the superficial content of the figure . The area is expressed numeri3 cally by the number of times which the figure contains 88 ... Page 72

This product will give the number of superficial units in the

This product will give the number of superficial units in the

**surface**; because , for one unit in height , there are as many superficial units as there are linear units in the base ; for two units in height twice as many ; for three ... Page 73

... its absolute measure , in other words , it would be equal to 34 of a superficial unit . It is more common and more simple , to assume the square as the unit of

... its absolute measure , in other words , it would be equal to 34 of a superficial unit . It is more common and more simple , to assume the square as the unit of

**surface**; and to select that square , whose side is the unit of length .### 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