Plane and Solid Geometry: To which is Added Plane and Spherical Trigonometry and Mensuration : Accompanied with All the Necessary Logarithmic and Trigonometric TablesD. Appleton, 1860 - 443 σελίδες |
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Αποτελέσματα 1 - 5 από τα 31.
Σελίδα 4
... in reference to any other point is determined by its direction and distance from that point . This distance , which is the length of the shortest line which can unite these points , is obviously mutual to the two 4 GEOMETRY .
... in reference to any other point is determined by its direction and distance from that point . This distance , which is the length of the shortest line which can unite these points , is obviously mutual to the two 4 GEOMETRY .
Σελίδα 5
... direction of one of its points , B , from another point , A , as has already been noticed , is opposite the direction of A from B ; so that a line has two different directions exactly opposite , either of which may be regarded as the ...
... direction of one of its points , B , from another point , A , as has already been noticed , is opposite the direction of A from B ; so that a line has two different directions exactly opposite , either of which may be regarded as the ...
Σελίδα 6
... directions by the circumference , is called a diameter . All diameters of the same circle are equal , since each is twice the radius . THE ANGLE . C 8. When two straight lines meet , the opening between them is called a plane angle , or ...
... directions by the circumference , is called a diameter . All diameters of the same circle are equal , since each is twice the radius . THE ANGLE . C 8. When two straight lines meet , the opening between them is called a plane angle , or ...
Σελίδα 9
... direction through its whole extent . In reality a line has two directions , the one exactly opposite the other ; either of which may be considered as its direction . VIII . A Broken line is one which is made up of two or more straight ...
... direction through its whole extent . In reality a line has two directions , the one exactly opposite the other ; either of which may be considered as its direction . VIII . A Broken line is one which is made up of two or more straight ...
Σελίδα 10
... direction , or one with which a straight line , foining any two of its points , will coincide . XVIII . When a surface is not a plane surface it is called a Curved surface . XIX . A plane figure is a limited portion of a plane . When it ...
... direction , or one with which a straight line , foining any two of its points , will coincide . XVIII . When a surface is not a plane surface it is called a Curved surface . XIX . A plane figure is a limited portion of a plane . When it ...
Άλλες εκδόσεις - Προβολή όλων
Συχνά εμφανιζόμενοι όροι και φράσεις
a+b+c ABCD altitude angles equal apothem base bisecting centre chord circle circumference circumscribed circle circumscribed polygon cone consequently corresponding cosec Cosine Cotang cubic cylinder decimal denote diameter dicular distance divided draw drawn equally distant equation exterior angles feet figure frustum given angle given line gives greater half hence hypotenuse inches included angle inscribed circle intersection logarithm measure middle point multiplied number of sides opposite parallel parallelogram parallelopipedon pendicular perimeter perpen perpendicular plane MN polyedral angle polyedron prism PROBLEM proportion pyramid quadrant quadrilateral radii radius ratio rectangle regular polygon respectively equal right angles right-angled triangle Scholium secant similar similar triangles Sine slant height solid sphere spherical triangle square straight line subtract suppose surface Tang Tangent THEOREM three sides triangle ABC volume
Δημοφιλή αποσπάσματα
Σελίδα 113 - CUBIC MEASURE 1728 cubic inches = 1 cubic foot 27 cubic feet = 1 cubic yard...
Σελίδα 31 - If the opposite sides of a quadrilateral are equal, the figure is a parallelogram.
Σελίδα 112 - ALSO THE AREA OF THE TRIANGLE FORMED BY THE CHORD OF THE SEGMENT AND THE RADII OF THE SECTOR. THEN...
Σελίδα 33 - If two triangles have the three sides of the one equal to the three sides of the other, each to each, the triangles are congruent.
Σελίδα 80 - The areas of two triangles which have an angle of the one equal to an angle of the other are to each other as the products of the sides including the equal angles. A D A' Hyp. In triangles ABC and A'B'C', To prove AABC A A'B'C' A'B' x A'C ' Proof. Draw the altitudes BD and B'D'.
Σελίδα 139 - If a straight line is perpendicular to each of two straight lines at their point of intersection, it is perpendicular to the plane of those lines.
Σελίδα 15 - The sum of all the angles of a polygon is equal to twice as many right angles as the polygon has sides, less two.
Σελίδα 174 - The radius of a sphere is a straight line, drawn from the centre to any point of the...
Σελίδα 107 - ... similar figures are to each other as the squares of their homologous sides.
Σελίδα 180 - Every section of a sphere, made by a plane, is a circle.