## Elements of Geometry and Trigonometry |

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Page 3

The propositions of Geometry are general truths , and as such , should be stated in gene- ral terms , and without reference to particular

The propositions of Geometry are general truths , and as such , should be stated in gene- ral terms , and without reference to particular

**figures**. The method of enunciating them by the aid of particu- lar diagrams seems to have been ... Page 5

The Proportions of

The Proportions of

**Figures**and the Measurement of Areas , - Problems relating to the Fourth Book , 41 57 98 88888 68 BOOK V. Regular Polygons and the Measurement of the Circle , 109 BOOK VI . Planes and Solid Angles , 126 BOOK VII . Page 10

A plane

A plane

**figure**is a plane terminated on all sides by lines . If the lines are straight , the space they enclose is called a rectilineal**figure**, or polygon , and the lines themselves , taken together , form the contour , or perimeter of ... Page 30

... as the

... as the

**figure**has sides . Let ABCDEFG be the proposed polygon . If from the vertex of any one angle A , diagonals B. AC , AD , AE , AF , be drawn to the vertices of all the opposite angles , it is plain that the poly- gon will be ... Page 31

Again , the sum of all the interior angles is equal to two right angles , taken as many times , less two , as the polygon has sides ( Prop . XXVI . ) ; that is , equal to twice as many right angles as the

Again , the sum of all the interior angles is equal to two right angles , taken as many times , less two , as the polygon has sides ( Prop . XXVI . ) ; that is , equal to twice as many right angles as the

**figure**has sides , wanting four ...### 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 construction contained corresponding cosine Cotang cylinder described diameter difference distance divided draw drawn equal equation equivalent evident expressed extremities fall figure follows formed formulas four frustum give given gles greater half hence homologous included inscribed intersection less likewise logarithm manner means measured meet middle multiplied opposite parallel parallelogram parallelopipedon pass perpendicular plane polygon prism PROBLEM Prop proportional PROPOSITION pyramid quantities radii radius ratio reason rectangle regular remaining right angles Scholium segment shown sides similar sine solid solid angle sphere spherical triangle square straight line Suppose surface taken tang tangent THEOREM third triangle triangle ABC vertex whole