Plane and Solid GeometryCentury Company, 1906 - 418 σελίδες |
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Αποτελέσματα 1 - 5 από τα 60.
Σελίδα 22
... passes through the same point H. § 115 " Through the same point only one straight line can be drawn parallel to the same straight line . " But EF is to GH by const . .. CD is L to GH . Ax . 16 That is , GH is 1 to CD . Q. E. D. ...
... passes through the same point H. § 115 " Through the same point only one straight line can be drawn parallel to the same straight line . " But EF is to GH by const . .. CD is L to GH . Ax . 16 That is , GH is 1 to CD . Q. E. D. ...
Σελίδα 60
... line bisects two sides of a triangle , it is parallel to the third side , and is equal to half the third side . Let DE bisect AB and AC . Draw DF | to BC , and EG to AB . DF passes through E ( § 209 60 PLANE GEOMETRY — BOOK I.
... line bisects two sides of a triangle , it is parallel to the third side , and is equal to half the third side . Let DE bisect AB and AC . Draw DF | to BC , and EG to AB . DF passes through E ( § 209 60 PLANE GEOMETRY — BOOK I.
Σελίδα 61
Isaac Newton Failor. to AB . DF passes through E ( § 209 ) , and coincides with DE ( § 94 ) . .. DE is to BC . § 209 , and DBGE is a □ by const . Again : EG bisects BC by ... DE = BG = } BC . A 211 COROLLARY 3. The median of a trapezoid ...
Isaac Newton Failor. to AB . DF passes through E ( § 209 ) , and coincides with DE ( § 94 ) . .. DE is to BC . § 209 , and DBGE is a □ by const . Again : EG bisects BC by ... DE = BG = } BC . A 211 COROLLARY 3. The median of a trapezoid ...
Σελίδα 78
... passes through the center ; as , AB . All diameters of a circle or of equal circles are equal . 224 A semicircumference is half a circumference . 225 A quadrant is one - fourth of a circumference . 226 A segment of a circle is a part of ...
... passes through the center ; as , AB . All diameters of a circle or of equal circles are equal . 224 A semicircumference is half a circumference . 225 A quadrant is one - fourth of a circumference . 226 A segment of a circle is a part of ...
Σελίδα 83
... passes through the center of the circle and bisects the arcs of the chord . EXERCISES 235 A diameter which bisects a chord is perpendicular to the chord . 236 If a point is within , on , or without the circumference of a circle , its ...
... passes through the center of the circle and bisects the arcs of the chord . EXERCISES 235 A diameter which bisects a chord is perpendicular to the chord . 236 If a point is within , on , or without the circumference of a circle , its ...
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Συχνά εμφανιζόμενοι όροι και φράσεις
ABCD altitude angles are equal arc BC assigned quantity base bisectors bisects chord circumference circumscribed Compute CONCLUSION cone construct COROLLARY cylinder diagonals diameter diedral angles divided equiangular equiangular polygon equidistant equilateral triangle exterior angle Find the area Find the locus frustum given circle given line given point homologous hypotenuse HYPOTHESIS inches inscribed intersect isosceles trapezoid isosceles triangle lateral area legs lune median mid-points number of sides opposite parallel lines parallelogram parallelopiped perimeter perpendicular polyedral angle polyedron prism PROOF Draw PROOF Let Prove pyramid Q. E. D. EXERCISES Q. E. D. PROPOSITION quadrilateral radii radius ratio rectangle regular polygon rhombus right angles right triangle SCHOLIUM secant segment semicircle spherical angle spherical degrees spherical excess spherical polygon spherical triangle straight line surface symmetrical tangent tetraedron THEOREM trapezoid triangle ABC triedral vertex vertical angle
Δημοφιλή αποσπάσματα
Σελίδα 168 - In any triangle, the square of the side opposite an acute angle is equal to the sum of the squares of the other two sides diminished by twice the product of one of those sides and the projection of the other upon that side.
Σελίδα 41 - In an isosceles triangle the angles opposite the equal sides are equal.
Σελίδα 38 - ... greater than the included angle of the second, then the third side of the first is greater than the third side of the second.
Σελίδα 35 - Any side of a triangle is less than the sum of the other two sides...
Σελίδα 174 - In any triangle, the product of two sides is equal to the product of the segments of the third side formed by the bisector of the opposite angle plus the square of the bisector.
Σελίδα 172 - If from a point without a circle a tangent and a secant are drawn, the tangent is the mean proportional between the whole secant and its external segment.
Σελίδα 171 - If two chords intersect within a circle, the product of the segments of one is equal to the product of the segments of the other.
Σελίδα 199 - 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 192 - The areas of two rectangles having equal altitudes are to each other as their bases.
Σελίδα 65 - The perpendicular bisectors of the sides of a triangle meet in a point. 12. The bisectors of the angles of a triangle meet in a point. 13. The tangents to a circle from an external point are equal. 14...