A History of Mathematics |
From inside the book
Results 1-5 of 36
Page 32
... conic sections , which , in course of only a century , raised geometry to the loftiest height which it was destined to reach during antiquity . Menæchmus cut three kinds of cones , the ' right - angled , ' ' acute - angled , ' and ...
... conic sections , which , in course of only a century , raised geometry to the loftiest height which it was destined to reach during antiquity . Menæchmus cut three kinds of cones , the ' right - angled , ' ' acute - angled , ' and ...
Page 34
... conic sections tends to show that much progress had been made in their study during the time of Menæchmus . Aristaus wrote also on regular solids and cultivated the analytic method . His works contained probably a summary of the ...
... conic sections tends to show that much progress had been made in their study during the time of Menæchmus . Aristaus wrote also on regular solids and cultivated the analytic method . His works contained probably a summary of the ...
Page 39
... a given construction , as , to find the centre of a given circle , or to find the G.C.D. of two given numbers . His other lost works are Fallacies , containing exercises in detection of fallacies ; Conic Sections , in THE GREEKS . 39.
... a given construction , as , to find the centre of a given circle , or to find the G.C.D. of two given numbers . His other lost works are Fallacies , containing exercises in detection of fallacies ; Conic Sections , in THE GREEKS . 39.
Page 40
Florian Cajori. exercises in detection of fallacies ; Conic Sections , in four books , which are the foundation of a work on the same sub- ject by Apollonius ; and Loci on a Surface , the meaning of which title is not understood ...
Florian Cajori. exercises in detection of fallacies ; Conic Sections , in four books , which are the foundation of a work on the same sub- ject by Apollonius ; and Loci on a Surface , the meaning of which title is not understood ...
Page 42
... conic sections . Of all his discoveries Archimedes prized most highly those in his Sphere and Cylinder . In it are proved the new theorems , that the surface of a sphere is equal to four times a great circle ; that the surface of a ...
... conic sections . Of all his discoveries Archimedes prized most highly those in his Sphere and Cylinder . In it are proved the new theorems , that the surface of a sphere is equal to four times a great circle ; that the surface of a ...
Other editions - View all
Common terms and phrases
60 cents abacus Abelian functions algebra Almagest analysis analytical angles Apollonius applied Arabic Archimedes arithmetic astronomical Berlin Bernoulli Boethius calculus Cambridge Cauchy Cayley century circle Clebsch coefficients College conic sections contains Crelle's Journal cubic curve degree Descartes determine differential calculus differential equations Diophantus discovery Edition Egyptian elasticity Elementary Treatise elliptic functions equal Euclid Euler expressed Fermat fluxions fractions Gauss gave geometry given gives Greek Hindoo infinite integral invention investigations Jacobi John Bernoulli known Lagrange Laplace Legendre Leibniz linear lines logarithms mathe mathematicians mathematics matical mechanics memoir method motion Newton notation paper Pappus Paris plane polygon principle problem professor progress proof published pupil Pythagoreans quadratic quadrature quantities ratio researches Riemann roots sexagesimal solids solution solved spherical square surface symbol synthetic geometry tangents theorem theory of numbers theta-functions Thomson tion translated triangle trigonometry University variable Vieta Wallis writings wrote
Popular passages
Page 292 - THEOREM. If a straight line, falling on two other straight lines, make the alternate angles equal to each other ; these two straight lines shall be parallel.
Page 13 - The formula states that the square of the hypotenuse of a right triangle is equal to the sum of the squares of the base and altitude.
Page 90 - In an inscribed quadrilateral, the product of the diagonals is equal to the sum of the products of the opposite sides.
Page 419 - FERRERS.— AN ELEMENTARY TREATISE on TRILINEAR CO-ORDINATES, the Method of Reciprocal Polars, and the Theory of Projections. By the Rev. NM FERRERS, MA, Fellow and Tutor of Gonville and Caius College, Cambridge.