Elements of Plane and Solid GeometryGinn, Heath, & Company, 1885 - 398 σελίδες |
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Σελίδα 6
... coincide . Between two points one , and but one , straight line can be drawn ; that is , a straight line is determined in position if two of its points be known . Of all lines between two points , the shortest is the straight line ; and ...
... coincide . Between two points one , and but one , straight line can be drawn ; that is , a straight line is determined in position if two of its points be known . Of all lines between two points , the shortest is the straight line ; and ...
Σελίδα 7
... meet ; for if they could meet , then we should have two straight lines passing through the same point in the same direction . Such lines , however , coincide . $ 18 22. Two straight lines which lie in the same plane DEFINITIONS . 7.
... meet ; for if they could meet , then we should have two straight lines passing through the same point in the same direction . Such lines , however , coincide . $ 18 22. Two straight lines which lie in the same plane DEFINITIONS . 7.
Σελίδα 11
... coincide . Two angles are equal , if they can be so placed that their vertices coincide in position and their sides in direction . In applying this test of equality , we assume that a line may be moved from one place to another without ...
... coincide . Two angles are equal , if they can be so placed that their vertices coincide in position and their sides in direction . In applying this test of equality , we assume that a line may be moved from one place to another without ...
Σελίδα 16
... = ZOCF ZOC B. .. C B and C F coincide , and cannot form two lines as rep- resented in the figure . .. A C and C B are in the same straight line . Q. E. D. PROPOSITION III . THEOREM . 52. A perpendicular measures the 16 GEOMETRY . BOOK I.
... = ZOCF ZOC B. .. C B and C F coincide , and cannot form two lines as rep- resented in the figure . .. A C and C B are in the same straight line . Q. E. D. PROPOSITION III . THEOREM . 52. A perpendicular measures the 16 GEOMETRY . BOOK I.
Σελίδα 26
... coincides with M N. ( Through the same point only one line can be drawn || to a given line ) . that is .. EF is 1 to HK , HK is to EF . Q. E. D. PROPOSITION XI . THEOREM . 68. If two parallel straight 26 26 GEOMETRY.— BOOK I.
... coincides with M N. ( Through the same point only one line can be drawn || to a given line ) . that is .. EF is 1 to HK , HK is to EF . Q. E. D. PROPOSITION XI . THEOREM . 68. If two parallel straight 26 26 GEOMETRY.— BOOK I.
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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