The Elements of Euclid: With Select Theorems Out of Archimedes |
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Page 6
... done , and are called Problems ; in others we proceed no fur- ther than bare Contemplation , which therefore are na- med Theorems . PRO- PROPOSITIONS . THE requifite Citations are found in the Margin EUCLID'S Elements . Lib . I.
... done , and are called Problems ; in others we proceed no fur- ther than bare Contemplation , which therefore are na- med Theorems . PRO- PROPOSITIONS . THE requifite Citations are found in the Margin EUCLID'S Elements . Lib . I.
Page 7
With Select Theorems Out of Archimedes Euclid, André Tacquet. PROPOSITIONS . THE requifite Citations are found in the ... PROPOSITION I. Problem . Pon a given Right Line ( A B ) to make an Equi- lateral Triangle . Fig . 23 . From the ...
With Select Theorems Out of Archimedes Euclid, André Tacquet. PROPOSITIONS . THE requifite Citations are found in the ... PROPOSITION I. Problem . Pon a given Right Line ( A B ) to make an Equi- lateral Triangle . Fig . 23 . From the ...
Page 46
... PROPOSITION L. Theorem . there be two right Lines ( AB , AC ) , one where- of is divided into as many Parts as you will ( A E , EF , FC ) ; the Rectangle compriz'd under those two ( AB , AC ) is equal to all the Rectangles together ...
... PROPOSITION L. Theorem . there be two right Lines ( AB , AC ) , one where- of is divided into as many Parts as you will ( A E , EF , FC ) ; the Rectangle compriz'd under those two ( AB , AC ) is equal to all the Rectangles together ...
Page 58
... PROPOSITION I. Problem . Fig . 1. 1. 3. To find the Centre of a given Circle . . Let the right Line ( BC ) be drawn in the Circle at random , which bifect in Q. Thro ' Qdraw the Per- pendicular LF , which bifect in A. A fhall be the ...
... PROPOSITION I. Problem . Fig . 1. 1. 3. To find the Centre of a given Circle . . Let the right Line ( BC ) be drawn in the Circle at random , which bifect in Q. Thro ' Qdraw the Per- pendicular LF , which bifect in A. A fhall be the ...
Page 85
... PROPOSITION I. Problem . O infcribe a right Line ( A ) which is not greater Fig . 1. 1.4 . than the Diameter into a Circle ( BD ) . To Take in the Circumference any Point B. From the Centre B with the Interval of the given Line A , de ...
... PROPOSITION I. Problem . O infcribe a right Line ( A ) which is not greater Fig . 1. 1.4 . than the Diameter into a Circle ( BD ) . To Take in the Circumference any Point B. From the Centre B with the Interval of the given Line A , de ...
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The Elements of Euclid: With Select Theorems Out of Archimedes Archimedes,André Tacquet,Euclid No preview available - 2015 |
Common terms and phrases
alfo alfo equal alſo Altitude Arch Archimedes Axis Bafe Baſe becauſe betwixt themſelves bifected Centre Circum circumfcrib'd Circumference confequently Conftruction conical Superficies conical Surfaces contain'd Coroll Corollary Cylinder defcrib'd defcribe demonftrated Diameter double drawn thro equal Angles equilateral Cone equilateral Triangle Euclid faid fame manner fcrib'd fecond felf fhall be equal fhew fhew'd Figure firft firſt folid Angle fome fore foregoing four right ftand fuppos'd given right Line greater hath Height Hypothefis infcrib'd infcribed Interfections leffer lefs likewife Line BC manifeft Mathematicks mean Proportional betwixt Meaſure Number oppofite pafs thro parallel Parallelepiped Parallelogram Pentagon perpendicular Plane Point Polygon Prifm Priſms Proclus produc'd PROP Propofition Pyramids Radius Rectangle right Angle right Line Scholium Segment Semidiameter Solid Sphere Square thefe Theorem theſe Thing thofe unto whatſoever whofe whole Superficies
Popular passages
Page 21 - If two triangles have one angle of the one equal to one angle of the other and the sides about these equal angles proportional, the triangles are similar.
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Page xviii - Difcovery of Divine Truth : And of the Degree of Evidence that , ought to be expected in Divine Matters, 8vo.
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Page xviii - DHcovery of divine Truth, and of the degree of Evidence that ought to be expected in divine Matters. By William WbiftvK, MA Ibmetime Profeffor of the Mathematicks in the Univerfity of Cambridge.
Page 11 - Because the angle A is equal to the angle C, and the angle...
Page xviii - Bodies contained in the fame Syftem. VI.' Important Principles of NATURAL RELIGION Demonftrated from the foregoing Obfervations.
Page xix - How great a Geometrician art thou, O Lord! For while this Science has no Bounds, while there is for ever room for the Discovery of New Theorems, even by Human Faculties; Thou art acquainted with them all at one View, without any Chain of Consequences, without any Fatigue of Demonstrations.
Page 211 - Side next to the Diameter : and let the right Lines BH, CG, DF, join the Angles which are equally diftant from A. I fay that the...
Page 221 - Axis, is alfo given j it is manifeft that each of the Segments become known. Now both the foregoing, and all the reft of the Theorems which follow...