An Elementary Geometry: Plane, Solid and Spherical1880 - 240 σελίδες |
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Σελίδα 2
... divided by equals , the quotients are equal . 25. Like powers and like roots of equals are equal . 26. The whole of a magnitude is greater than any of its parts . 27. The whole of a magnitude is equal to the sum of all its parts . 28 ...
... divided by equals , the quotients are equal . 25. Like powers and like roots of equals are equal . 26. The whole of a magnitude is greater than any of its parts . 27. The whole of a magnitude is equal to the sum of all its parts . 28 ...
Σελίδα 28
... divided into as many triangles as it has sides minus two ; and the sum of the angles of each triangle is equal to two right angles ( 73 ) ; therefore the sum of the angles of all the triangles , that is , the sum of the interior angles ...
... divided into as many triangles as it has sides minus two ; and the sum of the angles of each triangle is equal to two right angles ( 73 ) ; therefore the sum of the angles of all the triangles , that is , the sum of the interior angles ...
Σελίδα 35
... divided by b . 2. The Terms of a ratio are the quantities compared , whether simple or compound . The first term of a ratio is called the antecedent , the other the consequent ; the two terms together are called a couplet . 3. An ...
... divided by b . 2. The Terms of a ratio are the quantities compared , whether simple or compound . The first term of a ratio is called the antecedent , the other the consequent ; the two terms together are called a couplet . 3. An ...
Σελίδα 37
... divided by b equals c divided by d . In a proportion the antecedents and consequents of the two ratios are respectively the antecedents and consequents of the proportion . The first and fourth terms are called the extremes , and the ...
... divided by b equals c divided by d . In a proportion the antecedents and consequents of the two ratios are respectively the antecedents and consequents of the proportion . The first and fourth terms are called the extremes , and the ...
Σελίδα 40
... divided by any quantity , and the result- ing quantities will be in proportion . And since by ( 15 ) , if a : b = mamb , a : ma = b : mb or ma : a = mb : b , it follows that both consequents , or both antecedents , may be multiplied or ...
... divided by any quantity , and the result- ing quantities will be in proportion . And since by ( 15 ) , if a : b = mamb , a : ma = b : mb or ma : a = mb : b , it follows that both consequents , or both antecedents , may be multiplied or ...
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An Elementary Geometry: Plane, Solid and Spherical William Frothingham Bradbury Δεν υπάρχει διαθέσιμη προεπισκόπηση - 2016 |
Συχνά εμφανιζόμενοι όροι και φράσεις
A B D altitude angles are equal apothem arcs A B centre chord circle circumference circumscribed cone construct the triangle convex surface Corollary diagonals diameter diedral angles distance divided draw equally distant equivalent bases face angles feet frustum given angle given line given point hence homologous homologous lines hypothenuse inscribed intersection isosceles triangle lines bisecting locus medial line middle points mutually equiangular number of sides opposite sides parallelogram parallelopiped perimeter perpendicular plane M N polar triangle polyedral angle polyedrons produced proposition quadrilateral radius ratio rectangle rectangular parallelopiped regular polygon respectively equal right prism right triangle Scholium similar slant height sphere spherical angle spherical polygon spherical triangle square straight line tangent tetraedrons THEOREM triangle A B C triangle is equal triangular prism triedral vertex vertices
Δημοφιλή αποσπάσματα
Σελίδα 166 - Any two rectangles are to each other as the products of their bases by their altitudes.
Σελίδα 13 - If two triangles have two sides and the inchtded angle of the one respectively equal to two sides and the included angle of the other, the two triangles are equal in all respects.
Σελίδα 41 - 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...
Σελίδα 198 - Each side of a spherical triangle is less than the sum of the other two sides.
Σελίδα 75 - A Circle is a plane figure bounded by a curved line every point of which is equally distant from a point within called the center.
Σελίδα 203 - In an isosceles spherical triangle, the angles opposite the equal sides are equal. In the spherical triangle ABC, let AB equal AC.
Σελίδα 220 - If one angle of a triangle is equal to the sum of the other two, the triangle can be divided into two isosceles triangles.
Σελίδα 136 - A STRAIGHT line is perpendicular to a plane, when it is perpendicular to every straight line which it meets in that plane.
Σελίδα 199 - THEOREM. The sum of the sides of a spherical polygon is less than the circumference of a great circle.
Σελίδα 162 - An oblique prism is equivalent to a right prism whose base is a right section of the oblique prism, and whose altitude is equal to a lateral edge of the oblique prism. Hyp. GM is a right section of oblique prism AD', and GM.' a right prism whose altitude is equal to a lateral edge of AD'. To prove AD' =0= GM'. Proof. The lateral edges of GM