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 |
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Αποτελέσματα 1 - 5 από τα 61.
Σελίδα 3
... supposed that no new truths , no new principles or applications can be elicited , es- pecially in elementary Geometry , which reached almost its present perfection in a remote period of antiquity . The works of Euclid , for more than ...
... supposed that no new truths , no new principles or applications can be elicited , es- pecially in elementary Geometry , which reached almost its present perfection in a remote period of antiquity . The works of Euclid , for more than ...
Σελίδα 4
... supposed improve- ments introduced in the elementary parts of the work , but it is believed that some new definitions , which are here in- troduced , will be regarded with favor , as being more strictly in accordance with mathematical ...
... supposed improve- ments introduced in the elementary parts of the work , but it is believed that some new definitions , which are here in- troduced , will be regarded with favor , as being more strictly in accordance with mathematical ...
Σελίδα 9
... supposed that a line , or a surface , can have separate or independent existence , the fact will not in the smallest degree interrupt or embarrass our reasonings , in considering these several attributes of body or space , each apart ...
... supposed that a line , or a surface , can have separate or independent existence , the fact will not in the smallest degree interrupt or embarrass our reasonings , in considering these several attributes of body or space , each apart ...
Σελίδα 25
... supposed mP > nR , it would have resulted that mMnO ; consequently ( Prop . XIII . ) M : 0 :: P : R. Now let there be four magnitudes in each series represent- ed by M , N , O , T , and P , Q , R , S , furnishing the additional ...
... supposed mP > nR , it would have resulted that mMnO ; consequently ( Prop . XIII . ) M : 0 :: P : R. Now let there be four magnitudes in each series represent- ed by M , N , O , T , and P , Q , R , S , furnishing the additional ...
Σελίδα 34
... supposed greater than the other , so that DEF must be equal to some portion of ABC . Let ABƒ represent that por- tion ; then , because ABf is a right angle , Bf is perpendicular to AB ( Def . 12. ) ; but ABC is also a right angle ...
... supposed greater than the other , so that DEF must be equal to some portion of ABC . Let ABƒ represent that por- tion ; then , because ABf is a right angle , Bf is perpendicular to AB ( Def . 12. ) ; but ABC is also a right angle ...
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.