Elements of Geometry and Trigonometry |
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Page 3
... 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 ...
... 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
... 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- sitions , which ...
... 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- sitions , which ...
Page 14
... PROPOSITION II . THEOREM . Two straight lines , which have two points 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 ...
... PROPOSITION II . THEOREM . Two straight lines , which have two points 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 ...
Page 15
... PROPOSITION II 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 ...
... PROPOSITION II 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 ...
Page 17
... 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 triungles will be equal . Let the angle E be equal to the ...
... 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 triungles will be equal . Let the angle E be equal to the ...
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Common terms and phrases
adjacent adjacent angles altitude angle ACB angle BAC ar.-comp base multiplied bisect Book VII centre chord circ circumference circumscribed common cone convex surface Cosine cylinder diagonal diameter dicular distance divided draw drawn equally distant equations equivalent feet figure find the area formed four right angles frustum given angle given line gles greater homologous sides hypothenuse inscribed circle inscribed polygon intersection less Let ABC logarithm number of sides opposite parallelogram parallelopipedon pendicular perimeter perpen perpendicular perpendicular let fall plane MN polyedron polygon ABCDE PROBLEM proportional PROPOSITION pyramid quadrant quadrilateral quantities radii radius ratio rectangle regular polygon right angled triangle S-ABCDE Scholium secant segment similar Sine Cotang slant height solid angle solid described sphere spherical polygon spherical triangle square described straight line tang tangent THEOREM triangle ABC triangular prism vertex