Plane and Solid GeometryCentury Company, 1906 - 418 σελίδες |
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Αποτελέσματα 1 - 5 από τα 54.
Σελίδα 18
... ratio 2 : 3 : 5 . How many degrees in each angle ? 14 What angle is included between the hands of a watch at 3 o'clock ? at 5 o'clock ? at 8 o'clock ? 15 What angle does the minute hand of a watch describe in 12 min . ? in 28 min . ? in ...
... ratio 2 : 3 : 5 . How many degrees in each angle ? 14 What angle is included between the hands of a watch at 3 o'clock ? at 5 o'clock ? at 8 o'clock ? 15 What angle does the minute hand of a watch describe in 12 min . ? in 28 min . ? in ...
Σελίδα 48
... angles if one is 23 ° larger than the other ? 93 The angles of a triangle are in the ratio of 2 : 3 : 5 . degrees in each angle ? How many PROPOSITION XXVI . THEOREM 187 Every point equidistant from the 48 - PLANE GEOMETRY — BOOK I.
... angles if one is 23 ° larger than the other ? 93 The angles of a triangle are in the ratio of 2 : 3 : 5 . degrees in each angle ? How many PROPOSITION XXVI . THEOREM 187 Every point equidistant from the 48 - PLANE GEOMETRY — BOOK I.
Σελίδα 59
... ratio 3 : 5 , how many degrees in each angle ? 122 If one angle of a parallelogram is a right angle , the figure is a right parallelogram . 123 If the diagonals of a quadrilateral bisect each other , the figure is a parallelogram ...
... ratio 3 : 5 , how many degrees in each angle ? 122 If one angle of a parallelogram is a right angle , the figure is a right parallelogram . 123 If the diagonals of a quadrilateral bisect each other , the figure is a parallelogram ...
Σελίδα 90
... straight line which joins the points of contact is a diameter . 271 In the annexed figure , AP = AO . Prove that / BOC 3 Z P. B C MEASUREMENT DEFINITIONS 258 Ratio is the relation of two magnitudes 90 PLANE GEOMETRY — BOOK II.
... straight line which joins the points of contact is a diameter . 271 In the annexed figure , AP = AO . Prove that / BOC 3 Z P. B C MEASUREMENT DEFINITIONS 258 Ratio is the relation of two magnitudes 90 PLANE GEOMETRY — BOOK II.
Σελίδα 91
... ( ratio ) is expressed by the number of times the first contains the second . Thus , the ratio of 6 ft . to 3 ft . is 2 ; the ratio of a to b is , or a b , and is read " the ratio of a to b . " The number expressing the ratio of two mag ...
... ( ratio ) is expressed by the number of times the first contains the second . Thus , the ratio of 6 ft . to 3 ft . is 2 ; the ratio of a to b is , or a b , and is read " the ratio of a to b . " The number expressing the ratio of two mag ...
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Συχνά εμφανιζόμενοι όροι και φράσεις
ABCD altitude angles are equal arc BC assigned quantity base bisectors bisects chord circumference circumscribed circle CONCLUSION cone construct COROLLARY cylinder diagonals diameter diedral angles divided equiangular equiangular polygon equidistant equilateral triangle exterior angle Find the area Find the locus Find the ratio frustum given circle given line given point homologous sides hypotenuse HYPOTHESIS inches inscribed intersecting isosceles trapezoid isosceles triangle lateral area legs line of centers mean proportional median mid-points number of sides parallelogram parallelopiped perimeter perpendicular polyedral angle polyedron prism PROOF Draw Prove pyramid Q. E. D. EXERCISES Q. E. D. PROPOSITION quadrilateral radii radius rectangle regular polygon rhombus right angles right triangle SCHOLIUM secant segments similar triangles slant height SOLUTION sphere spherical polygon spherical triangle straight line surface tangent THEOREM trapezoid triangle ABC triedral vertex volume
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 242 - 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. D c A' D' Hyp. In triangles ABC and A'B'C', ZA = ZA'. To prove AABC = ABxAC. A A'B'C' A'B'xA'C' Proof. Draw the altitudes BD and B'D'.
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 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...