Elements of Geometry and Trigonometry |
From inside the book
Results 1-5 of 100
Page 12
... theorem , or the solution of a problem . The 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 ...
... theorem , or the solution of a problem . The 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 ...
Page 13
... 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.
... 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
... 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 place it is evident ...
... 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 place it is evident ...
Page 15
... 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 straight line . Let ...
... 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 straight line . Let ...
Page 17
... 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 . Let the angle E be equal to the angle B , the angle ...
... 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 . Let the angle E be equal to the angle B , the angle ...
Other editions - View all
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