Syntaxis mathematica, or, A construction of the harder problemes of geometry with so much of the conicks as is therefore requisite and other more ordinary and usefull propositions inter-mixed, and tables to several purposes / by Tho. Gibson.
- Title
- Syntaxis mathematica, or, A construction of the harder problemes of geometry with so much of the conicks as is therefore requisite and other more ordinary and usefull propositions inter-mixed, and tables to several purposes / by Tho. Gibson.
- Author
- Gibson, Thomas, 17th/18th cent.
- Publication
- London :: Printed by R. & W. Leybourne for Andrew Crook,
- 1655.
- Rights/Permissions
-
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- Subject terms
- Geometry -- Early works to 1800.
- Link to this Item
-
https://name.umdl.umich.edu/A42708.0001.001
- Cite this Item
-
"Syntaxis mathematica, or, A construction of the harder problemes of geometry with so much of the conicks as is therefore requisite and other more ordinary and usefull propositions inter-mixed, and tables to several purposes / by Tho. Gibson." In the digital collection Early English Books Online 2. https://name.umdl.umich.edu/A42708.0001.001. University of Michigan Library Digital Collections. Accessed May 4, 2024.
Contents
- title page
- CONTENTS.
- TO THE READER
- ERRATA.
- Preface.
-
Propositions of EUCLIDE, fit to be known to the ANALIST.
- Definitions.
- The names of the Potestates or Powers.
-
CHAP. I. An explanation of the Characters and Symbols used in this Work. -
CHAP. II. Of Aequations. -
CHAP. III. Of the resolution of Aequations, according to the generall Method composed by Mr.Tho. Harriot. - Of Cubicall Aequations.
- Of the resolution of Mixed Cubiques.
- Example of Devolution.
- Example of Anticipation.
- Extraction of the greater Root.
- 2. Eduction of the lesser Root by Devolution.
- CHAP. IV.
-
CHAP. V. Of Reduction of Solids. -
CHAP. VI. Of Surd Numbers - CHAP. VII.
-
CHAP. VIII. Of Mixtion. -
CHAP. IX. Of Mensuration. - CHAP. X.
-
CHAP. XI. Definition generall of a Cone. -
CHAP. XII. Of the description of the Sections.-
1. To describe aParabola about any Diameter given with one of the ordinate lines. -
2. About any Diameter, and one Ordinate line, to describe an Hyperbola known in kinde, in a plain by points. -
3. About a diameter given, and an Ordinate, to describe by points in a plain; an Ellipsis known in kinde. - COROLLARY.
- RƲLES.
- To finde the Axis of a Parabola.
-
-
CHAP. XIII. To draw a tangent to any point assigned in any Section, or from any point without the Section. - CHAP. XIV.
-
CHAP. XV.
- Probl. 1.
-
Probl. 2. Ʋpon a line given as a Base to describe an Isos∣celes triangle, so that an inward parallel Base may cut off two segments of the sides betwixt the bases, so that either segment may be equal to the inwad base, the perpendicular from the vertex to the said inward Base being also by supposition given.
-
CHAP. XVI.
Of Dialling. -
Probl. 1. Ʋpon any declining Plane, to finde the height of the Stile, and place of the Substile, the Decli∣nation being first known. -
Probl. 2. Of Declining Recliners. -
Prob. 3. To find the same in those called South Declining Inclining Planes. -
Probl. 4. To draw any Verticall Dial by help of an Ho∣zontal dial, without any Aequator.
-
-
CHAP. XVII. Of the Perpendicular Stile. - CHAP. XVIII.
- tables
- tables
-
The second Table for 100
li. year rent, or Annuity. - Here followeth the third Table.
- table
- Postscript.