The Elements of Euclid: With Select Theorems Out of ArchimedesJ. Senex ... W. and J. Innys ... and J. Osborn and T. Longman, 1727 - 239 σελίδες |
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Σελίδα 32
... this Theorem we may learn to measure any Parallelogram . For the Area of it is produced from the perpendicular Altitude QX , or C A multiplied in- to the Base A B. For For the Area of the Rectangle CB , which is EUCLID'S Elements . Lib . I.
... this Theorem we may learn to measure any Parallelogram . For the Area of it is produced from the perpendicular Altitude QX , or C A multiplied in- to the Base A B. For For the Area of the Rectangle CB , which is EUCLID'S Elements . Lib . I.
Σελίδα 35
... . 65 . we learn that the Area of whatfoever Triangle , as AFB , is produced from half the Altitude FI multi- plied into the Base A B , or half the Bafe multiplied D 2 into Fig . 66 . Per 31 . ( b ) Lib . I. 35 EUCLID'S Elements .
... . 65 . we learn that the Area of whatfoever Triangle , as AFB , is produced from half the Altitude FI multi- plied into the Base A B , or half the Bafe multiplied D 2 into Fig . 66 . Per 31 . ( b ) Lib . I. 35 EUCLID'S Elements .
Σελίδα 36
... Altitude . Wherefore one Side of a Triangle being known , and the Height , that is , the Perpendi cular which falls upon the known Side from the oppofite Angle , the Measure of the Triangle is given . As if the Bafe A B be of an 100 ...
... Altitude . Wherefore one Side of a Triangle being known , and the Height , that is , the Perpendi cular which falls upon the known Side from the oppofite Angle , the Measure of the Triangle is given . As if the Bafe A B be of an 100 ...
Σελίδα 49
... Altitude of the Moun- tain AD , and the Quotient will give the Line AE . From which fubtract the known Altitude of the Moun- tain AD , the remaining Line DE will be the Diame- ter of the Earth . Q.E.I. PROP VII . Theorem . IF F a right ...
... Altitude of the Moun- tain AD , and the Quotient will give the Line AE . From which fubtract the known Altitude of the Moun- tain AD , the remaining Line DE will be the Diame- ter of the Earth . Q.E.I. PROP VII . Theorem . IF F a right ...
Σελίδα 108
... Altitude of a Figure is the Perpendicular let fall from the Top to the Bafe . This with Euclid is the fourth Definition . As the Altitude of the Triangle A B C is the Perpen- dicular AQ which falls from the Top upon the Base BC , either ...
... Altitude of a Figure is the Perpendicular let fall from the Top to the Bafe . This with Euclid is the fourth Definition . As the Altitude of the Triangle A B C is the Perpen- dicular AQ which falls from the Top upon the Base BC , either ...
Άλλες εκδόσεις - Προβολή όλων
The Elements of Euclid: With Select Theorems Out of Archimedes Archimedes,André Tacquet,Euclid Δεν υπάρχει διαθέσιμη προεπισκόπηση - 2015 |
Συχνά εμφανιζόμενοι όροι και φράσεις
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
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Σελίδα 11 - Because the angle A is equal to the angle C, and the angle...
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Σελίδα 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...
Σελίδα 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...