Elements of Geometry: Containing the First Six Books of Euclid, with a Supplement on the Quadrature of the Circle, and the Geometry of Solids: to which are Added Elements of Plane and Spherical TrigonometryCollins & Hannay, 1860 - 333 sider |
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Resultat 1-3 av 92
Side 74
... fore FA , AG are equal to FC , DG ; where- fore the whole FG is greater than FA , AG ; but it is also less ( 20 . 1. ) , which is impossi- ble : Therefore the straight line which joins B A CAD F G the points F , G cannot pass otherwise ...
... fore FA , AG are equal to FC , DG ; where- fore the whole FG is greater than FA , AG ; but it is also less ( 20 . 1. ) , which is impossi- ble : Therefore the straight line which joins B A CAD F G the points F , G cannot pass otherwise ...
Side 96
... fore the angles AKB , AMB are equal to the angles DEG , DEF , of which AKB is equal to DEG ; wherefore the remaining angle AMB is equal to the remaining angle DEF . In like manner , the angle LMN may be demonstrated to be equal to DFE ...
... fore the angles AKB , AMB are equal to the angles DEG , DEF , of which AKB is equal to DEG ; wherefore the remaining angle AMB is equal to the remaining angle DEF . In like manner , the angle LMN may be demonstrated to be equal to DFE ...
Side 250
... fore the squares of AG and GE are equal to the squares of AG and GF , and taking away the common square of AG , the remaining squares of GE and GF are equal , and GE is therefore equal to GF . Where- fore , in the triangles AFG , AEG ...
... fore the squares of AG and GE are equal to the squares of AG and GF , and taking away the common square of AG , the remaining squares of GE and GF are equal , and GE is therefore equal to GF . Where- fore , in the triangles AFG , AEG ...
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Elements of Geometry: Containing the First Six Books of Euclid: With a ... John Playfair Uten tilgangsbegrensning - 1854 |
Vanlige uttrykk og setninger
ABC is equal ABCD altitude angle ABC angle ACB angle BAC angle EDF arch AC base BC bisected centre circle ABC circumference cosine cylinder demonstrated diameter draw equal and similar equal angles equiangular equilateral equilateral polygon equimultiples Euclid exterior angle fore four right angles given straight line greater hypotenuse inscribed join less Let ABC Let the straight line BC magnitudes meet multiple opposite angle parallel parallelogram perpendicular polygon prism PROB produced proportionals proposition Q. E. D. COR Q. E. D. PROP radius ratio rectangle contained rectilineal figure remaining angle segment semicircle side BC sine solid angle solid parallelopipeds spherical angle spherical triangle straight line AC THEOR third touches the circle triangle ABC triangle DEF wherefore