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 11
... Same time the Line AB , the Height of the Tower above the Horizon . " Coroll . ( 3. ) The fame Thing alfo may be found with- out the Sun by the means of an Aftronomical Quadrant . For where the Angle of Elevation is half - right , there ...
... Same time the Line AB , the Height of the Tower above the Horizon . " Coroll . ( 3. ) The fame Thing alfo may be found with- out the Sun by the means of an Aftronomical Quadrant . For where the Angle of Elevation is half - right , there ...
Página 50
... Same Space that EB and the Square of AC doth . Therefore they are equal to EB and the Square of AÇ . ] [ Let the Number 13 be divided into any two Parts , as 9 and 4. The Square 13 × 13 = 169 , together with that 9x9 81 , is equal to 13 ...
... Same Space that EB and the Square of AC doth . Therefore they are equal to EB and the Square of AÇ . ] [ Let the Number 13 be divided into any two Parts , as 9 and 4. The Square 13 × 13 = 169 , together with that 9x9 81 , is equal to 13 ...
Página 62
... Same Point ( A ) , whether they fall within the Circle , or only without . Part 1. From the Centre Z draw`Z C ; because ZC , ZB are equal , the common A Z being added to each , AZ ( a ) Per 20. + ZC are equal to AB . But AZ + ZC are ( a ) ...
... Same Point ( A ) , whether they fall within the Circle , or only without . Part 1. From the Centre Z draw`Z C ; because ZC , ZB are equal , the common A Z being added to each , AZ ( a ) Per 20. + ZC are equal to AB . But AZ + ZC are ( a ) ...
Página 102
... Same , be ever changed and ordered in the very same manner . And then there will be no Room to question , whether the Proportions which arife on both Sides be alike or no . It is indeed a Thing to be wonder'd at , that no one of those ...
... Same , be ever changed and ordered in the very same manner . And then there will be no Room to question , whether the Proportions which arife on both Sides be alike or no . It is indeed a Thing to be wonder'd at , that no one of those ...
Página 111
... Same Proportion betwixt themfelves , as the other Sides ( AB , CB ) the Line ( BF ) which cuts the Bafe , bifects the oppofite Angle ( ABC ) . 1. I. Part 1. Draw forth CB until BL be equal to BA ; and join A L. Because in the Triangle Z ...
... Same Proportion betwixt themfelves , as the other Sides ( AB , CB ) the Line ( BF ) which cuts the Bafe , bifects the oppofite Angle ( ABC ) . 1. I. Part 1. Draw forth CB until BL be equal to BA ; and join A L. Because in the Triangle Z ...
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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 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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Página 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...
Página 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...