Plane and Solid GeometryCentury Company, 1906 - 418 σελίδες |
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Αποτελέσματα 1 - 5 από τα 51.
Σελίδα 31
Isaac Newton Failor. 137 An acute triangle is a triangle having all its angles acute ; as , C , D , and E. 138 An ... isosceles triangle is a triangle having two of its sides equal ; as , A , D , E , and G. 142 A scalene triangle is a ...
Isaac Newton Failor. 137 An acute triangle is a triangle having all its angles acute ; as , C , D , and E. 138 An ... isosceles triangle is a triangle having two of its sides equal ; as , A , D , E , and G. 142 A scalene triangle is a ...
Σελίδα 32
... triangle is a straight line bisecting an angle and terminated by the opposite side . Every triangle has three angle - bisectors . 152 Classification of triangles . Isosceles . Right . Scalene . Triangle .. Acute . Oblique . Isosceles ...
... triangle is a straight line bisecting an angle and terminated by the opposite side . Every triangle has three angle - bisectors . 152 Classification of triangles . Isosceles . Right . Scalene . Triangle .. Acute . Oblique . Isosceles ...
Σελίδα 40
... . 54 by drawing the triangles on opposite sides of the base . B C H P 56 HK and MN bisect each other at P. Prove Δ ΗΡΜ = Δ ΚΡΝ . [ § 162. ] M PROPOSITION XIX . THEOREM 173 In an isosceles triangle , 40 PLANE GEOMETRY - BOOK I.
... . 54 by drawing the triangles on opposite sides of the base . B C H P 56 HK and MN bisect each other at P. Prove Δ ΗΡΜ = Δ ΚΡΝ . [ § 162. ] M PROPOSITION XIX . THEOREM 173 In an isosceles triangle , 40 PLANE GEOMETRY - BOOK I.
Σελίδα 41
... isosceles triangle to the middle point of the base bisects the vertical angle and is perpendicular to the base . 175 COROLLARY 2. An equilateral triangle is equiangular . EXERCISES 57 The exterior angles at the base of an isosceles triangle ...
... isosceles triangle to the middle point of the base bisects the vertical angle and is perpendicular to the base . 175 COROLLARY 2. An equilateral triangle is equiangular . EXERCISES 57 The exterior angles at the base of an isosceles triangle ...
Σελίδα 42
... triangle is isosceles . A B D 4B 4C . HYPOTHESIS . In the triangle ABC , B = 4 C. CONCLUSION . AB AC . PROOF Draw AD L to BC . The rt . △ ADB and ADC are equal ; for AD = AD by identity ... isosceles triangle is 42 PLANE GEOMETRY - BOOK I.
... triangle is isosceles . A B D 4B 4C . HYPOTHESIS . In the triangle ABC , B = 4 C. CONCLUSION . AB AC . PROOF Draw AD L to BC . The rt . △ ADB and ADC are equal ; for AD = AD by identity ... isosceles triangle is 42 PLANE GEOMETRY - BOOK I.
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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...