Plane and Solid GeometryCentury Company, 1906 - 418 σελίδες |
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Αποτελέσματα 1 - 5 από τα 56.
Σελίδα 12
... produced indefinitely in either direction . 2 A straight line can be drawn from any point in any direction to any extent . 3 A geometric figure can be moved from one position to another without changing its form , size , or the relation ...
... produced indefinitely in either direction . 2 A straight line can be drawn from any point in any direction to any extent . 3 A geometric figure can be moved from one position to another without changing its form , size , or the relation ...
Σελίδα 20
... produced . Exercise 23. In the figure above , show that the PK'K is an acute angle ( § 74 ) , and that the PK'D is an obtuse angle ( § 75 ) . PROPOSITION V. THEOREM 115 Two straight lines in the same 20 PLANE GEOMETRY - BOOK I PARALLEL ...
... produced . Exercise 23. In the figure above , show that the PK'K is an acute angle ( § 74 ) , and that the PK'D is an obtuse angle ( § 75 ) . PROPOSITION V. THEOREM 115 Two straight lines in the same 20 PLANE GEOMETRY - BOOK I PARALLEL ...
Σελίδα 21
... produced , meet at some point , as at X , there would be two perpendiculars drawn from the point X to the line m , which is impossible . " From a point without a line only one perpendicular can be drawn to the line . " ... a and b ...
... produced , meet at some point , as at X , there would be two perpendiculars drawn from the point X to the line m , which is impossible . " From a point without a line only one perpendicular can be drawn to the line . " ... a and b ...
Σελίδα 28
... Produce , if necessary , the two non - parallel sides AB and HG to intersect at K. Then m = Ls , and n Ls . < m = < n . Ln . But ≤ n = L 0 . : . △ m , n , and o are equal . Again , ≤ n + p = 2 rt . 4 . Substituting / m for its equal ...
... Produce , if necessary , the two non - parallel sides AB and HG to intersect at K. Then m = Ls , and n Ls . < m = < n . Ln . But ≤ n = L 0 . : . △ m , n , and o are equal . Again , ≤ n + p = 2 rt . 4 . Substituting / m for its equal ...
Σελίδα 30
... produced ; as , angle EDF . TRIANGLES 134 A triangle is a polygon of three sides . A A B AAA C G E F D 135 A right triangle is a triangle having a right angle ; as , A and B. 136 An oblique triangle is a triangle having all its angles ...
... produced ; as , angle EDF . TRIANGLES 134 A triangle is a polygon of three sides . A A B AAA C G E F D 135 A right triangle is a triangle having a right angle ; as , A and B. 136 An oblique triangle is a triangle having all its angles ...
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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 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...