Plane and Solid GeometryCentury Company, 1906 - 418 σελίδες |
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Αποτελέσματα 1 - 5 από τα 92.
Σελίδα v
... . THE CIRCLE MEASURE Of Angles CONSTRUCTIONS · ANALYSIS OF PROBLEMS Loci . REVIEW QUESTIONS • 15 20 30 53 62 67 69 28 : 78 91 • 91 • 94 • 110 125 126 132 BOOK III . PROPORTION AND SIMILAR POLYGONS THEORY OF PROPORTION.
... . THE CIRCLE MEASURE Of Angles CONSTRUCTIONS · ANALYSIS OF PROBLEMS Loci . REVIEW QUESTIONS • 15 20 30 53 62 67 69 28 : 78 91 • 91 • 94 • 110 125 126 132 BOOK III . PROPORTION AND SIMILAR POLYGONS THEORY OF PROPORTION.
Σελίδα x
... problems , problems of com- putation , and problems in loci . These exercises have been collected with great care and labor , extending over many years of patient research . Many are original with the author . The others have been ...
... problems , problems of com- putation , and problems in loci . These exercises have been collected with great care and labor , extending over many years of patient research . Many are original with the author . The others have been ...
Σελίδα xi
... problems . Special attention is called to the large number of numerical exercises . The author believes that numerical ... problem illustrates a principle better than a com- plex one . Moreover , the student in Geometry has no time for ...
... problems . Special attention is called to the large number of numerical exercises . The author believes that numerical ... problem illustrates a principle better than a com- plex one . Moreover , the student in Geometry has no time for ...
Σελίδα 1
... problem is a question proposed for solution . 6 A corollary is a truth easily deduced from one or more propositions . 7 A lemma is an auxiliary theorem or problem . 8 An axiom is a self - evident truth . 9 A postulate is a self ...
... problem is a question proposed for solution . 6 A corollary is a truth easily deduced from one or more propositions . 7 A lemma is an auxiliary theorem or problem . 8 An axiom is a self - evident truth . 9 A postulate is a self ...
Σελίδα 14
... problem . proposition . point . points . quadrilateral . right . scholium . square . straight . hypothesis . Sup .. supplement . quod erat demonstrandum , which was to be proved . Q.E.F .. quod erat faciendum , which was to be done ...
... problem . proposition . point . points . quadrilateral . right . scholium . square . straight . hypothesis . Sup .. supplement . quod erat demonstrandum , which was to be proved . Q.E.F .. quod erat faciendum , which was to be done ...
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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...