Great Books of the Western World, Band 11Robert Maynard Hutchins Encyclopædia Britannica, 1952 |
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Seite 330
... solid CD , CM will also be equal to AG . For parallelepipedal solids of the same height are to one another as the ... solid AB is equal to the solid CD ; therefore CM is also greater than AG . Let then CT be made equal to AG , and let ...
... solid CD , CM will also be equal to AG . For parallelepipedal solids of the same height are to one another as the ... solid AB is equal to the solid CD ; therefore CM is also greater than AG . Let then CT be made equal to AG , and let ...
Seite 331
... solid CD to the height of the solid AB , therefore the height of the solid CD is also equal to the height of the solid AB . But parallelepipedal solids on equal bases and of the same height are equal to one another ; therefore the solid ...
... solid CD to the height of the solid AB , therefore the height of the solid CD is also equal to the height of the solid AB . But parallelepipedal solids on equal bases and of the same height are equal to one another ; therefore the solid ...
Seite 332
... solid DX to the height of the solid BT . But the solids DX , BT and the solids DC , BA have the same heights respec- tively ; therefore , as the base EH is to the base NQ , so is the height of the solid DC to the height of the solid AB ...
... solid DX to the height of the solid BT . But the solids DX , BT and the solids DC , BA have the same heights respec- tively ; therefore , as the base EH is to the base NQ , so is the height of the solid DC to the height of the solid AB ...
Inhalt
DEFINITIONS POSTULATES | 1 |
DEFINITIONS | 30 |
DEFINITIONS | 41 |
Urheberrecht | |
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angle ABC angle BAC apotome axis base BC is equal bisected centre of gravity circle ABCD circumference commensurable in length commensurable in square cone continued proportion cube cylinder diameter drawn parallel ellipse equal angles equiangular equimultiples Eucl frustum given straight line gnomon greater hyperbola incommensurable inscribed less Let ABC let the straight magnitudes medial straight line meet multiplying opposite sections parabola parallelogram perpendicular plane plane of reference point of contact polygon prime prism produced PROPOSITION 14 proved pyramid Q. E. D. PROPOSITION ratio rational straight line rect rectangle contained remaining angle right angles segment side similar Similarly solid sphere square number squares on AC straight line AB straight line AC straight lines commensurable surface tangent trgl triangle ABC twice the rectangle vertex