## Elements of Geometry and Trigonometry |

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Page 3

The

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 12

An axiom is a self - evident

An axiom is a self - evident

**proposition**. ... The common name ,**proposition**, is applied indifferently , to theorems , problems , and lemmas . A corollary is an obvious consequence , deduced from one or several**propositions**. Page 14

**PROPOSITION**I. THEOREM . If one straight line meet another straight line , the sum of the two adjacent angles will be equal to two right angles . Let the straight line DC meet the straight line AB at C , then will the angle ACD + the ... Page 15

**PROPOSITION**III . THEOREM . If a straight line meet two other straight lines at a common point , making the sum of the two adjacent angles equal to twó right angles , the two straight lines which are met , will form one and the same ... Page 17

... and the angle F = C

... and the angle F = C

**PROPOSITION**VI . THEOREM . If two triangles have two angles and the included side of the one , equal to two angles and the included side of the other , each to each , the two triangles will 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 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