Elementary GeometryJ.B. Lippincott Company, 1893 |
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Αποτελέσματα 1 - 5 από τα 39.
Σελίδα 62
... tangent to each other when they are both tangent to the same straight line at the same point . 21. Definition . A rectilinear figure is said . to be circumscribed about a circle when all its sides are tangents to the circumference . In ...
... tangent to each other when they are both tangent to the same straight line at the same point . 21. Definition . A rectilinear figure is said . to be circumscribed about a circle when all its sides are tangents to the circumference . In ...
Σελίδα 63
... tangent to a circle is perpendicular to the radius drawn to the point of contact . For any other point of the tangent , as D , must lie outside of the circle , and therefore the line OD , joining it with the centre , must be greater ...
... tangent to a circle is perpendicular to the radius drawn to the point of contact . For any other point of the tangent , as D , must lie outside of the circle , and therefore the line OD , joining it with the centre , must be greater ...
Σελίδα 64
... tangent , and from any point , P , of the tangent at their point of contact , tangents are drawn to the two circles , the points of contact of these tangents are equally distant from P. PROPOSITION XI . - THEOREM . 27. Two parallels ...
... tangent , and from any point , P , of the tangent at their point of contact , tangents are drawn to the two circles , the points of contact of these tangents are equally distant from P. PROPOSITION XI . - THEOREM . 27. Two parallels ...
Σελίδα 65
... tangent , as EF at M , then the intercepted arcs AM and BM are equal . For the radius OM drawn to the point of contact is perpendicular to the tangent ( Proposition IX . ) , and consequently perpendicular also to its parallel AB ...
... tangent , as EF at M , then the intercepted arcs AM and BM are equal . For the radius OM drawn to the point of contact is perpendicular to the tangent ( Proposition IX . ) , and consequently perpendicular also to its parallel AB ...
Σελίδα 79
... tangent and a chord is measured by one - half the intercepted arc . Let the angle BAC be formed by the tangent AB and the chord AC ; then it is measured by one - half the intercepted arc AMC . For , draw the diameter AD . The angle BAD ...
... tangent and a chord is measured by one - half the intercepted arc . Let the angle BAC be formed by the tangent AB and the chord AC ; then it is measured by one - half the intercepted arc AMC . For , draw the diameter AD . The angle BAD ...
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Συχνά εμφανιζόμενοι όροι και φράσεις
ABCD adjacent angles altitude angle BAC angles are equal apothem bisects centre chord coincide common cone construct convex Corollary cylinder Definition diagonal diameter dicular diedral angle distance divided draw equal circles equally distant equilateral equivalent Exercise find the locus frustum given circle given line given point given straight line greater Hence hypotenuse included angle inscribed angle intercepted arcs isosceles triangle lateral area lateral edges mean proportional middle point number of sides parallel lines parallelogram parallelopiped pass a plane pendicular perimeter perpen perpendicular plane MN plane passed polyedral angle Proposition VI Proposition VII quadrilateral radii radius ratio rectangle regular inscribed regular polygon respectively equal right angles right triangle Scholium secant secant line segment similar slant height sphere spherical polygon spherical triangle square surface tangent tetraedron Theorem triangle ABC triangles are equal triangular prism triedral upper base vertex volume
Δημοφιλή αποσπάσματα
Σελίδα 127 - The area of a rectangle is equal to the product of its base and altitude.
Σελίδα 196 - 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 131 - Two triangles having 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.
Σελίδα 245 - A truncated triangular prism is equivalent to the sum of three pyramids whose common base is the base of the prism, and whose vertices are the three vertices of the inclined section.
Σελίδα 278 - A lune is to the, surface of the sphere as the angle of the lune is to four right angles. Let...
Σελίδα 111 - The square of the length of the hypotenuse of a right triangle is equal to the sum of the squares of the lengths of the other two sides.
Σελίδα 48 - The three perpendiculars from the vertices of a triangle to the opposite sides meet in the same point.
Σελίδα 57 - A tangent to a circle is perpendicular to the radius drawn to the point of contact.
Σελίδα 34 - The sum of the three angles of any triangle is equal to two right angles.