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 adopted ...
... 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 adopted ...
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 13
... line can be drawn which shall be parallel to a given line . 13. Magnitudes , which being applied to each other , coincide throughout their whole extent , are equal . B PROPOSITION I. THEOREM . If one straight line meet another BOOK I. 13.
... line can be drawn which shall be parallel to a given line . 13. Magnitudes , which being applied to each other , coincide throughout their whole extent , are equal . B PROPOSITION I. THEOREM . If one straight line meet another BOOK I. 13.
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 . 2 Let A and B be the two common points . In the first ...
... 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 . 2 Let A and B be the two common points . In the first ...
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 two right angles , the two straight lines which are met , will form one and the same ...
... 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 ...
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Common terms and phrases
adjacent altitude angle ACB angle BAC ar.-comp base multiplied bisect Book VII centre chord circ circumference circumscribed common cone convex surface cosine cotangent cylinder diagonal diameter dicular distance divided draw drawn equal angles 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 measured by half number of sides opposite parallelogram parallelopipedon pendicular perimeter perpen perpendicular 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 slant height solid angle solid described sphere spherical polygon spherical triangle square described straight line tang tangent THEOREM triangle ABC triangular prism vertex