The Geometrician: Containing Essays on Plane Geometry, and Trigonometry: with Their Application to the Solutions of a Variety of Problems ...J. Johnson, 1775 - 159 sider |
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Side iii
... Euclid , and therefore have wished for a more eafy Introduction to that valuable Science , which , at the fame time as it fa- cilitated the Attainment of Geometry , might not depart ( as many do ) too much from the geometrical Spirit of ...
... Euclid , and therefore have wished for a more eafy Introduction to that valuable Science , which , at the fame time as it fa- cilitated the Attainment of Geometry , might not depart ( as many do ) too much from the geometrical Spirit of ...
Side 31
... Greece by Thales of Miletus , who travelled into Egypt for the Improvement of himself in Learning . He is faid to have found out the 5th , 15th , and 26th Propofitions of the first Book Book of Euclid , as alfo the 2d , 3d PREFA CE .
... Greece by Thales of Miletus , who travelled into Egypt for the Improvement of himself in Learning . He is faid to have found out the 5th , 15th , and 26th Propofitions of the first Book Book of Euclid , as alfo the 2d , 3d PREFA CE .
Side 31
... Euclid , as alfo the 2d , 3d , 4th , and 5th of the fourth Book . He began to obferve the Equinoxes and Solftices , and was the first who foretold an Eclipse of the Sun , and also one of the Moon to King Cyrus ; he is therefore justly ...
... Euclid , as alfo the 2d , 3d , 4th , and 5th of the fourth Book . He began to obferve the Equinoxes and Solftices , and was the first who foretold an Eclipse of the Sun , and also one of the Moon to King Cyrus ; he is therefore justly ...
Side 31
... Euclid . He firft framed the aftronomical Hy- pothefis , and following Archytas , derived down the Springs of Geometry to Mechanics . Amy- clas the Heracleot , Menechmus , his Brother Dinoftratus , and Helicon of Cyzium , all much ...
... Euclid . He firft framed the aftronomical Hy- pothefis , and following Archytas , derived down the Springs of Geometry to Mechanics . Amy- clas the Heracleot , Menechmus , his Brother Dinoftratus , and Helicon of Cyzium , all much ...
Side ix
... Euclid , which were contracted by Hypficles . Hipparchus wrote twelve , and Me- nelaus fix Books of Subtenfes in a Circle ; there are also extant three Books of the latter con- eerning fpherical Triangles . Theodofius wrote three Books ...
... Euclid , which were contracted by Hypficles . Hipparchus wrote twelve , and Me- nelaus fix Books of Subtenfes in a Circle ; there are also extant three Books of the latter con- eerning fpherical Triangles . Theodofius wrote three Books ...
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Vanlige uttrykk og setninger
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Populære avsnitt
Side 29 - The lines do not run in a uniform direction from the left to the right, or from the right to the left...
Side 106 - AB, remains the same as it was : Nor is it part of the length of the line AB ; for, if AB be removed from the line KB, the point B, which is the extremity of the line KB, does...
Side 120 - If a point be taken within a circle, from which there fall more than two equal straight lines to the circumference, that point is the centre of the circle. Let...
Side 15 - If two triangles have one angle of the one equal to one angle of the other, and the sides about the equal angles proportionals, the triangles shall be equiangular, and shall have those angles equal which are opposite to the homologous sides.
Side 43 - ... magnitude. For example, if A, B, C, D be four magnitudes of the same kind, the first A is said to have to the last D the ratio compounded of the ratio of A to B, and of the ratio of B to C, and of the ratio of C to D; or, the ratio of A to D is said to be compounded of the ratios of A to B, B to C, and C to D. And if...
Side 106 - It is necessary to consider a solid, that is, a magnitude which has length, breadth, and thickness, in order to understand aright the definitions of a point, line and superficies ; for these all arise from a solid, and exist in it ; The boundary, or boundaries which contain a solid, are called superficies, or the boundary which is common to two solids which are contiguous, or which divides one solid into two contiguous parts, is called a superficies...
Side 43 - When three magnitudes are proportionals, the first is said to have to the third the duplicate ratio of that which it has to the second.
Side 64 - ... is supposed to be divided into 60 equal parts, called minutes; and each minute into 60 equal parts, called seconds. Degrees, minutes, and seconds, are designated respectively, by the characters ° ' ". For example, ten degrees, eighteen minutes, and fourteen seconds, would be written 10° 18
Side 18 - If two triangles have two sides of the one equal to two sides of the...
Side 106 - KBCL which is contiguous to it, this boundary BC is called a line, and has no breadth : For if it have any, this...