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 ii
... Theorem , and a most exhaustive and scholarly course . Davies ' University Algebra . * - A shorter course than Bourdon , for Institu- tions have less time to give the subject . Davies ' Legendre's Geometry . - Acknowledged the only ...
... Theorem , and a most exhaustive and scholarly course . Davies ' University Algebra . * - A shorter course than Bourdon , for Institu- tions have less time to give the subject . Davies ' Legendre's Geometry . - Acknowledged the only ...
Page 11
... THEOREM is a truth requiring demonstration . 7. An AXIOM is a self - evident truth . 8. A PROBLEM is a question requiring a solution . 9. A POSTULATE is a self - evident Problem . Theorems , Axioms , Problems , and Postulates , are all ...
... THEOREM is a truth requiring demonstration . 7. An AXIOM is a self - evident truth . 8. A PROBLEM is a question requiring a solution . 9. A POSTULATE is a self - evident Problem . Theorems , Axioms , Problems , and Postulates , are all ...
Page 20
... THEOREM . If a straight line meet another straight line , the sum of the adjacent angles will be equal to two right angles . Let DC meet AB at C : then will the sum of the angles DCA and DCB be equal to two right angles . At C , let CE ...
... THEOREM . If a straight line meet another straight line , the sum of the adjacent angles will be equal to two right angles . Let DC meet AB at C : then will the sum of the angles DCA and DCB be equal to two right angles . At C , let CE ...
Page 21
... THEOREM . If two straight lines intersect each other , the opposite or vertical angles will be equal . Let AB and DE intersect at C : then will the opposite or vertical angles be equal . A The sum of the adjacent angles ACE and ACD , is ...
... THEOREM . If two straight lines intersect each other , the opposite or vertical angles will be equal . Let AB and DE intersect at C : then will the opposite or vertical angles be equal . A The sum of the adjacent angles ACE and ACD , is ...
Page 23
... THEOREM . If two straight lines have twc points in common , they will coincide throughout their whole extent , and form one and the same line . " Let A and B be two points common to two lines : then will the lines coincide throughout ...
... THEOREM . If two straight lines have twc points in common , they will coincide throughout their whole extent , and form one and the same line . " Let A and B be two points common to two lines : then will the lines coincide throughout ...
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Common terms and phrases
AB² AC² 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