Plane and Solid GeometryCentury Company, 1906 - 418 σελίδες |
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Αποτελέσματα 1 - 5 από τα 47.
Σελίδα 110
... constructed . We shall now show how to construct geo- metric figures with the straight edge and compasses , the only instruments allowed in Euclidean Geometry . PROPOSITION XIV . PROBLEM 283 To draw a perpendicular to a given line from ...
... constructed . We shall now show how to construct geo- metric figures with the straight edge and compasses , the only instruments allowed in Euclidean Geometry . PROPOSITION XIV . PROBLEM 283 To draw a perpendicular to a given line from ...
Σελίδα 114
... construct an angle at P equal to the angle C. SOLUTION From C as a center , and with any convenient radius ... construct an angle of 45 ° . 408 To construct an angle of 135 ° . 409 To construct an equilateral triangle , one side being ...
... construct an angle at P equal to the angle C. SOLUTION From C as a center , and with any convenient radius ... construct an angle of 45 ° . 408 To construct an angle of 135 ° . 409 To construct an equilateral triangle , one side being ...
Σελίδα 115
... SOLUTION At any point C in the line MN , construct a = ZA , and Zb = ZB . CONCLUSION . The c is the angle required . § 289 §§ 153 , 106 Q. E. F. PROPOSITION XXII . PROBLEM 292 To construct a triangle when CONSTRUCTIONS 115.
... SOLUTION At any point C in the line MN , construct a = ZA , and Zb = ZB . CONCLUSION . The c is the angle required . § 289 §§ 153 , 106 Q. E. F. PROPOSITION XXII . PROBLEM 292 To construct a triangle when CONSTRUCTIONS 115.
Σελίδα 116
... construct the triangle . SOLUTION Take BC equal to a . Construct an ABC equal to the K. $ 289 Take BA c , and draw AC . CONCLUSION . ABC is the triangle required . Q. E. F. PROOF . The △ ABC contains all the given data by construc ...
... construct the triangle . SOLUTION Take BC equal to a . Construct an ABC equal to the K. $ 289 Take BA c , and draw AC . CONCLUSION . ABC is the triangle required . Q. E. F. PROOF . The △ ABC contains all the given data by construc ...
Σελίδα 117
... construct the triangle . SOLUTION Take BC equal to a . From B as a center , and with c as a radius , describe an arc ... construct a right triangle , having given : 416 The two legs . 417 A leg and the adjacent acute angle . 418 A leg ...
... construct the triangle . SOLUTION Take BC equal to a . From B as a center , and with c as a radius , describe an arc ... construct a right triangle , having given : 416 The two legs . 417 A leg and the adjacent acute angle . 418 A leg ...
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Άλλες εκδόσεις - Προβολή όλων
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...