An Elementary Geometry: Plane, Solid and Spherical1880 - 240 σελίδες |
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Αποτελέσματα 1 - 5 από τα 83.
Σελίδα 5
... drawn in the same plane . DEFINITIONS . 40. An Acute Angle is less than a right angle ; as EC B. 41. An Obtuse Angle is greater than a A- right angle ; as AC E. Acute and obtuse angles are called oblique angles . E -B C 42. The ...
... drawn in the same plane . DEFINITIONS . 40. An Acute Angle is less than a right angle ; as EC B. 41. An Obtuse Angle is greater than a A- right angle ; as AC E. Acute and obtuse angles are called oblique angles . E -B C 42. The ...
Σελίδα 10
... drawn parallel to CD , it will make the opposite external and internal angles equal , and the alternate internal angles equal , and the internal angles on the same side supplements of each other ( 54 ) ; therefore it must coincide with ...
... drawn parallel to CD , it will make the opposite external and internal angles equal , and the alternate internal angles equal , and the internal angles on the same side supplements of each other ( 54 ) ; therefore it must coincide with ...
Σελίδα 15
... Drawn from the vertex bisecting the base . 4. Drawn from the vertex perpendicular to the base . 5. Drawn from the vertex bisecting the triangle . 6. Bisecting the triangle and the base . 7. Bisecting the triangle and perpendicular to ...
... Drawn from the vertex bisecting the base . 4. Drawn from the vertex perpendicular to the base . 5. Drawn from the vertex bisecting the triangle . 6. Bisecting the triangle and the base . 7. Bisecting the triangle and perpendicular to ...
Σελίδα 17
... drawn to this line , 1st . The perpendicular is shorter than any oblique line . 2d . Any two oblique lines cutting off equal distances from the foot of the perpendicular are equal . 3d . Of two oblique lines the more remote is the ...
... drawn to this line , 1st . The perpendicular is shorter than any oblique line . 2d . Any two oblique lines cutting off equal distances from the foot of the perpendicular are equal . 3d . Of two oblique lines the more remote is the ...
Σελίδα 18
... drawn , 1st . Any point in the perpendicular is equally distant from the extremities of the line . 2d . Any point ... draw DA and D B. Since CAC B , DA DB ( 90 ) . = E D D B 2d . Let E be any point without the perpen- dicular ; draw E A ...
... drawn , 1st . Any point in the perpendicular is equally distant from the extremities of the line . 2d . Any point ... draw DA and D B. Since CAC B , DA DB ( 90 ) . = E D D B 2d . Let E be any point without the perpen- dicular ; draw E A ...
Άλλες εκδόσεις - Προβολή όλων
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