Elements of Plane and Solid GeometryGinn, Heath, & Company, 1885 - 398 σελίδες |
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Σελίδα v
... THIRD EDITION . In this edition I have endeavored to present a more rigor- ous , but not less simple , treatment of Parallels , Ratio , and Limits . The changes are not sufficient to prevent the simulta neous use of the old and new ...
... THIRD EDITION . In this edition I have endeavored to present a more rigor- ous , but not less simple , treatment of Parallels , Ratio , and Limits . The changes are not sufficient to prevent the simulta neous use of the old and new ...
Σελίδα 27
... third straight line the alternate - interior angles are equal . E .. G C A B D H Let E F and GH be two parallel straight lines cut by We are to prove the line BC . LB = LC . Through O , the middle point of B C , draw A DL to GH . Then ...
... third straight line the alternate - interior angles are equal . E .. G C A B D H Let E F and GH be two parallel straight lines cut by We are to prove the line BC . LB = LC . Through O , the middle point of B C , draw A DL to GH . Then ...
Σελίδα 28
... third straight line , if the alternate - interior angles be equal , the two straight lines are parallel . A C M H K E BN D F Let E F cut the straight lines A B and C D in the points H and K , and let the AHK then But We are to prove ...
... third straight line , if the alternate - interior angles be equal , the two straight lines are parallel . A C M H K E BN D F Let E F cut the straight lines A B and C D in the points H and K , and let the AHK then But We are to prove ...
Σελίδα 29
... third straight line , the exterior - interior angles are equal . A- C K E H B Ꭰ Let A B and CD be two parallel lines cut by the straight line E F , in the points H and K. LEHB = ZHKD . We are to prove ZEHB LAHK , = ( being vertical ...
... third straight line , the exterior - interior angles are equal . A- C K E H B Ꭰ Let A B and CD be two parallel lines cut by the straight line E F , in the points H and K. LEHB = ZHKD . We are to prove ZEHB LAHK , = ( being vertical ...
Σελίδα 30
... third straight line , if the exterior - interior angles be equal , these two straight lines are parallel . E M H В A C K D BRA N Let EF cut the straight lines A B and C D in the points H and K , and let the EHBZHK D. We are to prove AB ...
... third straight line , if the exterior - interior angles be equal , these two straight lines are parallel . E M H В A C K D BRA N Let EF cut the straight lines A B and C D in the points H and K , and let the EHBZHK D. We are to prove AB ...
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AABC ABCD altitude apothem arc A B axis base and altitude centre centre of symmetry chord circumference circumscribed coincide cone of revolution conical surface COROLLARY cylinder denote diagonals diameter dihedral angle distance divided draw equal respectively equally distant equilateral equivalent frustum given point Hence homologous sides hypotenuse intersection isosceles lateral area lateral edges lateral faces Let A B Let ABC line A B measured by arc middle point number of sides opposite parallel lines parallelogram parallelopiped pass perimeter perpendicular plane MN polyhedral angle prove Q. E. D. PROPOSITION radii ratio rect rectangles regular inscribed regular polygon right angles right section S-ABC SCHOLIUM similar polygons slant height sphere spherical angle spherical polygon spherical triangle straight line drawn surface tangent tetrahedron THEOREM trihedral upper base vertex vertices volume