The Elements of Euclid: With Select Theorems Out of ArchimedesJ. Senex ... W. and J. Innys ... and J. Osborn and T. Longman, 1727 - 239 páginas |
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Página 12
... bisected . Q.E. F. Corollary . HENCE we learn how an Angle may be divided into 4 , 8 , 16 , 5c , equal Angles , viz , by bisecting each Part again . Scholium , No one hath hitherto taught the way of dividing An- ⚫gles into all equal ...
... bisected . Q.E. F. Corollary . HENCE we learn how an Angle may be divided into 4 , 8 , 16 , 5c , equal Angles , viz , by bisecting each Part again . Scholium , No one hath hitherto taught the way of dividing An- ⚫gles into all equal ...
Página 13
... bisect a finite given Line ( A Β . ) Fig . 31 . Upon the given A B make an Equilateral ( a ) Trian- ( a ) Per.1.1.1 ... bisected . Q. E. F. But for Practice it is sufficient from the Centers A and B to describe two equal Circles ...
... bisect a finite given Line ( A Β . ) Fig . 31 . Upon the given A B make an Equilateral ( a ) Trian- ( a ) Per.1.1.1 ... bisected . Q. E. F. But for Practice it is sufficient from the Centers A and B to describe two equal Circles ...
Página 33
... bisected in D. The Triangles ABD , ADC upon the equal Bases B D and DC , and having a common Top A , or being between the Same Parallels , are equal . Q. E. F. L [ Coroll . ( 2. ) Hence we also gather , with the famous Sir Isaac Newton ...
... bisected in D. The Triangles ABD , ADC upon the equal Bases B D and DC , and having a common Top A , or being between the Same Parallels , are equal . Q. E. F. L [ Coroll . ( 2. ) Hence we also gather , with the famous Sir Isaac Newton ...
Página 36
... Bisect the Base AB in F. Thro ' C draw CX pa- ( a ) Per 31. rallel ( a ) to AB . Make the Angle BAL equal to ... bisected in F , the Perpendicu- lar BQ be erected . For the Rectangle under FB and QB will be equal to the Triangle ...
... Bisect the Base AB in F. Thro ' C draw CX pa- ( a ) Per 31. rallel ( a ) to AB . Make the Angle BAL equal to ... bisected in F , the Perpendicu- lar BQ be erected . For the Rectangle under FB and QB will be equal to the Triangle ...
Página 52
... Bisect AF in X. Draw the right Line XB ; from the Line FA produc'd , cut off XI equal to XB . Then cut off A C ... bisected in X , and to it is added AI ; there shall be the Rect . PIA + = ( a ) to the Square of XI Square of X A ...
... Bisect AF in X. Draw the right Line XB ; from the Line FA produc'd , cut off XI equal to XB . Then cut off A C ... bisected in X , and to it is added AI ; there shall be the Rect . PIA + = ( a ) to the Square of XI Square of X A ...
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The Elements of Euclid: With Select Theorems Out of Archimedes Archimedes,André Tacquet,Euclid Sin vista previa disponible - 2015 |
Términos y frases comunes
alfo alſo alſo equal Altitude Arch Archimedes Bafe Baſe becauſe biſected Centre Circum circumfcrib'd Circumference circumſcribed conical Superficies conical Surfaces conſequently Conſtruction contain'd Coroll Corollary Cylinder demonſtrated deſcribe Diameter double drawn thro equal Angles equilateral Cone Euclid EUCLID'S Elements fame Figure firſt fore foregoing four right given Line given right Line greater greatest Circle hath Height Hypothefis infcrib'd inſcribed leſs likewife Line BC manifeſt Mathematicks mean Proportional betwixt meaſure moſt Number oppofite parallel Parallelepiped Parallelogram paſs Pentagon perpendicular Plane Point Polygon Priſm produc'd PROP Propofition Pyramids Radius Rectangle right Angle ſame manner ſay Schol Scholium ſecond ſeeing Segment ſelf Semidiameter ſhall be equal ſhew ſhew'd Sides Solid Sphere ſpherical Surface Square ſtands ſuppos'd themſelves Theorem theſe Thing thoſe unto whatsoever Wherefore whole Superficies whoſe
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