## Elements of Geometry and Trigonometry |

### From inside the book

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**COMMON**SCHOOL ARITHMETIC , DESCRIPTIVE GEOMETRY , ELEMENTS OF SURVEYING , AND A TREATISE ON SHADOWS AND PERSPECTIVE . FOURTH EDITION . NEW YORK : PUBLISHED BY HARPER AND BROTHERS , NO . 82 CLIFF - STREET . Stereotyped by A. Chandler ... Page 12

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**common**name , proposition , is applied indifferently , to theorems , problems , and lemmas . A corollary is an obvious consequence , deduced from one or several propositions . A scholium is a remark on one or several preceding propo ... Page 14

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**common**, coincide with each other throughout their whole extent , and form one and the same straight line . Let A and B be the two**common**points . In the first place it is evident that the two lines must coincide entirely between A and ... Page 15

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**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 straight line . Let the straight line CD meet the two lines AC , CB , at their**common**... Page 20

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**common**, and BD is equal to DC by construction : therefore , by the last proposition , the angle B is equal to the angle C. B Cor . An equilateral triangle is likewise equiangular , that is to say , has all its angles equal . Scholium ...### Other editions - View all

### Common terms and phrases

adjacent adjacent angles altitude angle ACB angle BAC ar.-comp base multiplied bisect Book centre chord circ circumference circumscribed common cone convex surface Cosine Cotang cylinder diagonal diameter dicular distance draw drawn equal angles equally distant equiangular equivalent figure formed four right angles frustum given angle given line gles greater homologous sides hypothenuse inscribed polygon intersection less Let ABC let fall logarithm measured by half number of sides oblique lines opposite parallelogram parallelopipedon pendicular perimeter perpen perpendicular plane MN polyedron polygon ABCDE prism proportional PROPOSITION pyramid quadrant quadrilateral quantities radii radius ratio rectangle regular polygon right angled triangle S-ABC Scholium secant secant line segment side BC similar sine solid angle solid described sphere spherical polygon spherical triangle square described straight line tang tangent THEOREM triangle ABC triangular prism vertex