## Elements of Geometry and Trigonometry |

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Page 3

In the original work , as well as in the translations of Dr. Brewster and Professor Farrar , the

In the original work , as well as in the translations of Dr. Brewster and Professor Farrar , the

**propositions**are not enunciated in general terms , but with reference to , and by the aid of , the particular diagrams used for the ... Page 4

Besides the alterations in the enunciation of the

Besides the alterations in the enunciation of the

**propositions**, others of considerable importance have also been made in the present edition . The**proposition**in Book V. , which proves that a polygon and circle may be made to coincide ... 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 . E Let the straight line DC meet the straight line AB at C , then will the angle ACD + the ... Page 15

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**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 two right angles , the two straight lines which are met , will form one and the same ...### 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