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 15
... parallel , when they lie in the same plane and can- not meet , how far soever , either way , both may be produced . They then have the same direction . 17. A PLANE FIGURE is a portion of a plane bounded by lines , either straight or ...
... parallel , when they lie in the same plane and can- not meet , how far soever , either way , both may be produced . They then have the same direction . 17. A PLANE FIGURE is a portion of a plane bounded by lines , either straight or ...
Page 17
... parallel . 28. A PARALLELOGRAM is a quadrilateral which has its opposite sides parallel , two and two . There are two varieties of parallelograms : rectangles and rhomboids . 1st . A RECTANGLE is a parallelogram whose angles are all ...
... parallel . 28. A PARALLELOGRAM is a quadrilateral which has its opposite sides parallel , two and two . There are two varieties of parallelograms : rectangles and rhomboids . 1st . A RECTANGLE is a parallelogram whose angles are all ...
Page 18
... another is measured on the straight line which joins them . 13. Through the same point , only one straight line can be drawn parallel to a given straight line . 1. A straight line 2 . A straight line 3. 18 GEOMETRY .
... another is measured on the straight line which joins them . 13. Through the same point , only one straight line can be drawn parallel to a given straight line . 1. A straight line 2 . A straight line 3. 18 GEOMETRY .
Page 19
... parallel to a given line . NOTE .. In making references , the following abbreviations are employed , viz .: A. for Axiom ; B. for Book ; C. for Corollary ; D. for Definition ; I. for Introduction ; P. for Proposition ; Prob . for ...
... parallel to a given line . NOTE .. In making references , the following abbreviations are employed , viz .: A. for Axiom ; B. for Book ; C. for Corollary ; D. for Definition ; I. for Introduction ; P. for Proposition ; Prob . for ...
Page 37
... parallel . Let the two lines AC , BD , be perpendicular to AB : then will they be parallel . For , if they could meet in a point 0 , there would be two perpendiculars OA , OB , drawn from the same point to the same B D -O straight line ...
... parallel . Let the two lines AC , BD , be perpendicular to AB : then will they be parallel . For , if they could meet in a point 0 , there would be two perpendiculars OA , OB , drawn from the same point to the same B D -O straight line ...
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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