Plane and Solid GeometryCentury Company, 1906 - 418 σελίδες |
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Αποτελέσματα 1 - 5 από τα 74.
Σελίδα 14
... triangle . = equals . A triangles . is equivalent to . > is greater than . S parallelogram . parallelograms . < is ... right . scholium . square . straight . hypothesis . Sup .. supplement . quod erat demonstrandum , which was to be ...
... triangle . = equals . A triangles . is equivalent to . > is greater than . S parallelogram . parallelograms . < is ... right . scholium . square . straight . hypothesis . Sup .. supplement . quod erat demonstrandum , which was to be ...
Σελίδα 30
... right triangle is a triangle having a right angle ; as , A and B. 136 An oblique triangle is a triangle having all its angles oblique ; as , C , D , E , F , and G. 137 An acute triangle is a triangle having all its 30 PLANE GEOMETRY - BOOK ...
... right triangle is a triangle having a right angle ; as , A and B. 136 An oblique triangle is a triangle having all its angles oblique ; as , C , D , E , F , and G. 137 An acute triangle is a triangle having all its 30 PLANE GEOMETRY - BOOK ...
Σελίδα 31
Isaac Newton Failor. 137 An acute triangle is a triangle having all its angles acute ; as , C , D , and E. 138 An ... right triangle is the side opposite the right angle ; as , AC . 144 The legs of a right triangle are the sides including ...
Isaac Newton Failor. 137 An acute triangle is a triangle having all its angles acute ; as , C , D , and E. 138 An ... right triangle is the side opposite the right angle ; as , AC . 144 The legs of a right triangle are the sides including ...
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 . Triangle . Right . ( Acute . ( Isosceles . Scalene . ( Isosceles . A ...
... triangle is a straight line bisecting an angle and terminated by the opposite side . Every triangle has three angle - bisectors . 152 Classification of triangles . Triangle . Right . ( Acute . ( Isosceles . Scalene . ( Isosceles . A ...
Σελίδα 33
... right angles . * M B HYPOTHESIS . ABC is any triangle . CONCLUSION . ZA + B + ZC = 2 rt . . PROOF Draw MN through B ... triangle can have but one right angle The acute angles of a right triangle are 156 COROLLARY 3. If two triangles have ...
... right angles . * M B HYPOTHESIS . ABC is any triangle . CONCLUSION . ZA + B + ZC = 2 rt . . PROOF Draw MN through B ... triangle can have but one right angle The acute angles of a right triangle are 156 COROLLARY 3. If two triangles have ...
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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...