Elements of Geometry: With Practical Applications to MensurationLeach, Shewell and Sanborn, 1863 - 320 σελίδες |
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Αποτελέσματα 1 - 5 από τα 100.
Σελίδα 17
... ( Prop . I. Cor . 1 ) ; and since ACE is a straight line , the angle FCE will also be a right angle ; therefore the angle FCE is equal to the angle FCD ( Art . 34 , Ax . 13 ) , a part to the whole , which is impossible ; hence two ...
... ( Prop . I. Cor . 1 ) ; and since ACE is a straight line , the angle FCE will also be a right angle ; therefore the angle FCE is equal to the angle FCD ( Art . 34 , Ax . 13 ) , a part to the whole , which is impossible ; hence two ...
Σελίδα 20
... equal to the angle C ( Prop . V. ) . 57. Cor . 1. The line bisecting the vertical angle of an isosceles triangle bisects the base at right angles . 58. Cor . 2. Conversely , the line bisecting the base of an isosceles triangle at right ...
... equal to the angle C ( Prop . V. ) . 57. Cor . 1. The line bisecting the vertical angle of an isosceles triangle bisects the base at right angles . 58. Cor . 2. Conversely , the line bisecting the base of an isosceles triangle at right ...
Σελίδα 24
... equal to the angle BCA ( Prop . V. ) But the angle BCA is , by hypothesis , a right angle ; therefore BCF must also be a right angle ; and if the two adja- cent angles , BCA and BCF , are to- gether equal to two right angles , the two ...
... equal to the angle BCA ( Prop . V. ) But the angle BCA is , by hypothesis , a right angle ; therefore BCF must also be a right angle ; and if the two adja- cent angles , BCA and BCF , are to- gether equal to two right angles , the two ...
Σελίδα 25
... ( Prop . I. Cor . 1 ) ; hence the third sides , CF and A C , are equal ( Prop . V. Cor . ) . But AB F , being a straight line , is shorter than ACF , which is a broken line ( Art . 34 , Ax . 10 ) ; therefore AB , the half of ABF , is ...
... ( Prop . I. Cor . 1 ) ; hence the third sides , CF and A C , are equal ( Prop . V. Cor . ) . But AB F , being a straight line , is shorter than ACF , which is a broken line ( Art . 34 , Ax . 10 ) ; therefore AB , the half of ABF , is ...
Σελίδα 26
... equal ( Prop . XIV . ) . So , likewise , the two oblique lines EA , E B are equal ; therefore any point in the perpendic- ular is equally distant from the extremities A and B. Secondly . Let F be any point out of the perpendicular , and ...
... equal ( Prop . XIV . ) . So , likewise , the two oblique lines EA , E B are equal ; therefore any point in the perpendic- ular is equally distant from the extremities A and B. Secondly . Let F be any point out of the perpendicular , and ...
Άλλες εκδόσεις - Προβολή όλων
Elements of Geometry: With Practical Applications to Mensuration Benjamin Greenleaf Πλήρης προβολή - 1874 |
Elements of Geometry: With Practical Application to Mensuration Benjamin Greenleaf Πλήρης προβολή - 1869 |
Elements of Geometry: With Practical Applications to Mensuration Benjamin Greenleaf Πλήρης προβολή - 1872 |
Συχνά εμφανιζόμενοι όροι και φράσεις
A B C ABCD adjacent angles altitude angle ACB angle equal arc A B base bisect chord circle circumference circumscribed cone convex surface cosec Cosine Cotang cylinder diagonal diameter distance divided drawn equal Prop equilateral triangle equivalent exterior angle feet formed frustum gles greater half the sum hence homologous hypothenuse inches included angle inscribed isosceles less Let ABC line A B logarithmic sine measured by half multiplied number of sides parallel parallelogram parallelopipedon pendicular perimeter perpendicular polyedron prism PROBLEM PROPOSITION pyramid quadrantal radii radius ratio rectangle regular polygon right angles right-angled triangle rods Scholium secant segment side A B similar slant height solve the triangle sphere spherical polygon spherical triangle Tang tangent THEOREM triangle ABC triangle equal trigonometric functions vertex
Δημοφιλή αποσπάσματα
Σελίδα 59 - If two triangles have the three sides of the one equal to the three sides of the other, each to each, the triangles are congruent.
Σελίδα 37 - All the interior angles of any rectilineal figure, together with four right angles, are equal to twice as many right angles as the figure has sides.
Σελίδα 120 - At a point in a given straight line to make an angle equal to a given angle.
Σελίδα 52 - If any number of quantities are proportional, any antecedent is to its consequent as the sum of all the antecedents is to the sum of all the consequents. Let a : b = c : d = e :f Now ab = ab (1) and by Theorem I.
Σελίδα 19 - In an isosceles triangle, the angles opposite the equal sides are equal.
Σελίδα 199 - Any two rectangular parallelopipedons are to each other as the products of their bases by their altitudes ; that is to say, as the products of their three dimensions.
Σελίδα 121 - Through a given point to draw a straight line parallel to a given straight line, Let A be the given point, and BC the given straight line : it is required to draw through the point A a straight line parallel to BC.
Σελίδα 103 - If two triangles have two angles of the one equal to two angles of the other, each to each, and also one side of the one equal to the corresponding side of the other, the triangles are congruent.
Σελίδα 2 - The logarithm of any POWER of a number is equal to the product of the logarithm of the number by the exponent of the power. For let m be any number, and take the equation (Art.
Σελίδα 2 - The logarithm of any power of a number is equal to the logarithm of the number multiplied by the exponent of the power.