Elements of plane (solid) geometry (Higher geometry) and trigonometry (and mensuration), being the first (-fourth) part of a series on elementary and higher geometry, trigonometry, and mensuration |
Αναζήτηση στο βιβλίο
Αποτελέσματα 1 - 5 από τα 100.
Σελίδα 15
... respective multiples the same number of times . 19. Two quantities , A and B , are said to be reciprocally proportional , or inversely proportional , when one increases in the same ratio as the other diminishes . In such case , either ...
... respective multiples the same number of times . 19. Two quantities , A and B , are said to be reciprocally proportional , or inversely proportional , when one increases in the same ratio as the other diminishes . In such case , either ...
Σελίδα 19
... respectively ; then are the values P P of M and N. But suppose M cannot be definitely expressed by the unit . P in simple terms , it may be expressed in terms of some function of P , which function we will represent by BOOK I. 19.
... respectively ; then are the values P P of M and N. But suppose M cannot be definitely expressed by the unit . P in simple terms , it may be expressed in terms of some function of P , which function we will represent by BOOK I. 19.
Σελίδα 24
... respectively equal , the fourth terms . will be equal . PROPOSITION XVIII . THEOREM . Of four proportional quantities , the sum of the greatest and least terms exceeds the sum of the other two . Let the quantities P : Q :: R : S , and ...
... respectively equal , the fourth terms . will be equal . PROPOSITION XVIII . THEOREM . Of four proportional quantities , the sum of the greatest and least terms exceeds the sum of the other two . Let the quantities P : Q :: R : S , and ...
Σελίδα 38
... respectively equal , viz : the side EF - BC , the angle E = B , and the angle F = C . PROPOSITION IX . THEOREM . Two triangles are equal , if two angles and the interjacent side of one is equal to two angles and the interjacent side in ...
... respectively equal , viz : the side EF - BC , the angle E = B , and the angle F = C . PROPOSITION IX . THEOREM . Two triangles are equal , if two angles and the interjacent side of one is equal to two angles and the interjacent side in ...
Σελίδα 39
... respectively equal , namely , the angle D - A , the side ED = BA , and the side DF - AC . PROPOSITION X. THEOREM . The sum of any two sides of a triangle is greater than the third side . Let ABC be a triangle : then will the sum of two ...
... respectively equal , namely , the angle D - A , the side ED = BA , and the side DF - AC . PROPOSITION X. THEOREM . The sum of any two sides of a triangle is greater than the third side . Let ABC be a triangle : then will the sum of two ...
Άλλες εκδόσεις - Προβολή όλων
Elements of Plane (Solid) Geometry (Higher Geometry) and Trigonometry (and ... Nathan Scholfield Δεν υπάρχει διαθέσιμη προεπισκόπηση - 2015 |
Συχνά εμφανιζόμενοι όροι και φράσεις
ABCD abscissa altitude axis bisect chord circle circular segment circum circumference circumscribing cone conjugate construction convex surface cosec cosine cube curve cylinder described diameter distance divided draw ellipse equal to half equation equivalent feet figure formed frustum Geom geometry given hence hyperbola hypothenuse inches inscribed inscribed sphere latus rectum length logarithm magnitude measured multiplied by one-third number of sides opposite ordinates parabola parallel parallelogram perimeter perpendicular plane polyedroid polyedron polygon portion prism PROBLEM Prop proportional PROPOSITION pyramid quadrant quadrilateral quantities radii radius ratio rectangle regular polygon revoloid rhomboid right angled triangle right line root Scholium sector segment similar similar triangles sine slant height solid angle sphere spherical square straight line tangent THEOREM triangle ABC triangular triangular prism ungula vertex vertical virtual centre
Δημοφιλή αποσπάσματα
Σελίδα 36 - Prove that parallelograms on the same base and between the same parallels are equal in area.
Σελίδα 116 - E to A, from A to B, from B to C, and from C to...
Σελίδα 35 - The sum of any two sides of a triangle, is greater than the third side.
Σελίδα 60 - A tangent to a circle is perpendicular to the radius drawn to the point of contact.
Σελίδα 56 - In the same circle, or in equal circles, equal arcs are subtended by equal chords ; and, conversely, equal chords subtend equal arcs.
Σελίδα 38 - The volumes of similar solids are to each other as the cubes of their like dimensions.
Σελίδα 75 - The logarithm of any power of a number is equal to the logarithm of the number multiplied by the exponent of the power.
Σελίδα 86 - If there be two straight lines, one of which is divided into any number of parts, the rectangle contained by the two straight lines is equal to the rectangles contained by the undivided line, and the several parts of the divided line. Let...
Σελίδα 211 - To find the solidity of a hyperbolic conoid, or otherwise called a hyperboloid. RULE. To the square of the radius of the base, add the square of the diameter...
Σελίδα 48 - Hence, the interior angles plus four right angles, is equal to twice as many right angles as the polygon has sides, and consequently, equal to the sum of the interior angles plus the exterior angles.