Elements of Geometry and Trigonometry from the Works of A.M. Legendre: Adapted to the Course of Mathematical Instruction in the United States |
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Page iii
... propositions of Geometry are general truths , and ought to be stated in general terms , without reference to particular diagrams . In the following work , each proposition is first enunciated in general terms , and afterwards , with ...
... propositions of Geometry are general truths , and ought to be stated in general terms , without reference to particular diagrams . In the following work , each proposition is first enunciated in general terms , and afterwards , with ...
Page 11
... Propositions . 10 : A LEMMA is an auxiliary proposition . 11 . A COROLLARY is an obvious consequence of one more propositions . or 12. A SCHOLIUM is a remark made upon one or more propositions , with reference to their connection ...
... Propositions . 10 : A LEMMA is an auxiliary proposition . 11 . A COROLLARY is an obvious consequence of one more propositions . or 12. A SCHOLIUM is a remark made upon one or more propositions , with reference to their connection ...
Page 19
... Proposition ; Prob . for Problem ; Post . for Postu- late ; and S. for Scholium . In referring to the same Book the number of the Book is not given ; in referring to any other Book , the number of the Book is given . PROPOSITION I ...
... Proposition ; Prob . for Problem ; Post . for Postu- late ; and S. for Scholium . In referring to the same Book the number of the Book is not given ; in referring to any other Book , the number of the Book is given . PROPOSITION I ...
Page 20
Adapted to the Course of Mathematical Instruction in the United States Charles Davies. PROPOSITION I. THEOREM . If a straight line meet another straight line , the sum of the adjacent angles will be equal to two right angles . Let DC ...
Adapted to the Course of Mathematical Instruction in the United States Charles Davies. PROPOSITION I. THEOREM . If a straight line meet another straight line , the sum of the adjacent angles will be equal to two right angles . Let DC ...
Page 21
... proposition just demonstrated , is equal to two right angles . DEFINITIONS . If two straight lines intersect each other , they form four angles about the point of intersection , which have received different names , with respect to each ...
... proposition just demonstrated , is equal to two right angles . DEFINITIONS . If two straight lines intersect each other , they form four angles about the point of intersection , which have received different names , with respect to each ...
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Common terms and phrases
ABē ACē adjacent angles altitude angle ACB apothem Applying logarithms base and altitude bisect centre chord circle circumference circumscribed coincide cone consequently convex surface corresponding cosec Cosine Cotang cylinder denote diagonals diameter distance divided draw drawn edges equally distant feet find the area Formula frustum given angle given straight line greater hence homologous hypothenuse included angle interior angles intersection less Let ABC log sin lower base mantissa mean proportional measured by half number of sides opposite parallel parallelogram parallelopipedon perimeter perpendicular plane MN polyedral angle polyedron prism PROPOSITION proved pyramid quadrant radii radius rectangle regular polygons right angles right-angled triangle Scholium secant segment semi-circumference side BC similar sine six right slant height sphere spherical polygon spherical triangle square Tang tangent THEOREM triangle ABC triangular prisms triedral angle upper base vertex vertices whence