Elements of Geometry and TrigonometryA. S. Barnes and Company, 1838 - 269 σελίδες |
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Αποτελέσματα 1 - 5 από τα 35.
Σελίδα 30
... divided into five triangles , if it has seven sides ; into six triangles , if it has eight ; and , in general , into as many triangles , less two , as the polygon has sides ; for , these triangles may be considered as having the point A ...
... divided into five triangles , if it has seven sides ; into six triangles , if it has eight ; and , in general , into as many triangles , less two , as the polygon has sides ; for , these triangles may be considered as having the point A ...
Σελίδα 34
... divided into M number of units , each equal to A ' : then A = M × A ' : let B be divided into N number of equal units , each equal to A ' ; then B - Nx A ' ; M and N being integral num- bers . Now the ratio of A to B , will be the same ...
... divided into M number of units , each equal to A ' : then A = M × A ' : let B be divided into N number of equal units , each equal to A ' ; then B - Nx A ' ; M and N being integral num- bers . Now the ratio of A to B , will be the same ...
Σελίδα 35
... same ratio as the other diminishes . In such case , either of them is equal to a constant quantity divided by the other , and their product is constant · PROPOSITION I. THEOREM . When four quantities are in BOOK II . 35.
... same ratio as the other diminishes . In such case , either of them is equal to a constant quantity divided by the other , and their product is constant · PROPOSITION I. THEOREM . When four quantities are in BOOK II . 35.
Σελίδα 52
... divided , being each equal to any of the four partial angles into which DCE is divided ; each of the partial arcs Am , mn , np , & c . , will be equal to each of the partial arcs Dr , xy , & c . ( Prop . XV . ) . Therefore the whole arc ...
... divided , being each equal to any of the four partial angles into which DCE is divided ; each of the partial arcs Am , mn , np , & c . , will be equal to each of the partial arcs Dr , xy , & c . ( Prop . XV . ) . Therefore the whole arc ...
Σελίδα 53
Adrien Marie Legendre Charles Davies. AB to be divided into equal parts , each of which is less than DO ; there will be at least one point of division between D and O ; let I be that point ; and draw CI . The arcs AB , AI , will be to ...
Adrien Marie Legendre Charles Davies. AB to be divided into equal parts , each of which is less than DO ; there will be at least one point of division between D and O ; let I be that point ; and draw CI . The arcs AB , AI , will be to ...
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Συχνά εμφανιζόμενοι όροι και φράσεις
adjacent altitude angle ACB angle BAC ar.-comp base multiplied bisect Book VII centre chord circ circumference circumscribed common cone consequently convex surface Cosine Cotang cylinder diagonal diameter dicular distance divided draw drawn equal angles equally distant equations equivalent feet figure find the area formed four right angles frustum given angle given line gles greater homologous sides hypothenuse inscribed circle inscribed polygon intersection less Let ABC logarithm number of sides opposite parallel parallelogram parallelopipedon pendicular perimeter perpen perpendicular plane MN polyedron polygon ABCDE PROBLEM proportional PROPOSITION pyramid quadrant quadrilateral quantities radii radius ratio rectangle regular polygon right angled triangle S-ABCDE Scholium secant segment similar sine slant height solid angle solid described sphere spherical polygon spherical triangle square described straight line tang tangent THEOREM triangle ABC triangular prism vertex
Δημοφιλή αποσπάσματα
Σελίδα 241 - In every plane triangle, the sum of two sides is to their difference as the tangent of half the sum of the angles opposite those sides is to the tangent of half their difference.
Σελίδα 19 - 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 232 - ... the logarithm of a fraction is equal to the logarithm of the numerator minus the logarithm of the denominator.
Σελίδα 168 - The radius of a sphere is a straight line drawn from the centre to any point of the surface ; the diameter or axis is a line passing through this centre, and terminated on both sides by the surface.
Σελίδα 18 - America, but know that we are alive, that two and two make four, and that the sum of any two sides of a triangle is greater than the third side.
Σελίδα 169 - The convex surface of a cylinder is equal to the circumference of its base multiplied by its altitude, Fig.
Σελίδα 20 - In an isosceles triangle the angles opposite the equal sides are equal.
Σελίδα 86 - 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. A D A' Hyp. In triangles ABC and A'B'C', To prove AABC A A'B'C' A'B' x A'C ' Proof. Draw the altitudes BD and B'D'.
Σελίδα 225 - B) = cos A cos B — sin A sin B, (6a) cos (A — B) = cos A cos B + sin A sin B...
Σελίδα 168 - CIRCLE is a plane figure bounded by a curved line, all the points of which are equally distant from a point within called the centre; as the figure ADB E.