Wednesday, May 25, 2011

Gaspard Monge's Descriptive Geometry

A page from the 1811 edition of the Descriptive Geometry of Gaspard Monge (1746-1818). This book deals with methods for representing three-dimensional objects in two dimensions. It was written to accompany Monge's courses at the √ącole Polytechnique in Paris.

This page (plate 14) illustrates projections obtained by cutting a cone with an oblique plane.

Wednesday, May 18, 2011

Niccolo Tartaglia's General Trattato di Numeri et Misure

Detail of the title page of part I of the General Trattato di Numeri (General Treatise on Number and Measure) (1556) of Niccolo Tartaglia (1500-1557). This is an extensive work on elementary mathematics that was popular in Italy for several decades after its publication.

Here Tartaglia is showing how to determine the area of an irregular curved shape.

Niccolo Tartaglia's General Trattato di Numeri et Misure

Wednesday, May 11, 2011

Leibniz - Bernoulli Correspondence

Gottfried Wilhelm Leibniz carried on an active correspondence within the intellectual community of his time. In particular, two of his main correspondents were the brothers Jacob and Johann Bernoulli. Johann began corresponding with Leibniz in 1693.

In this December 1696 letter from Leibniz to Bernoulli, there is a discussion of integration by parts applied to functions having powers of x and powers of the logarithm.

Leibniz - Bernoulli correspondence

Wednesday, May 4, 2011

Albrecht Durer's Treatise on Mensuration

This woodcut print on page 185, called "The Designer of the Lute", illustrates how one uses projection to represent a solid object on a two-dimensional canvas.

Albrecht Durer's Treatise on Mensuration