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, Edlemnts of Plane and Spherical TrigonometryW.E. Dean, 1836 - 311 páginas |
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Página 33
... wherefore AL and BC are each of them equal to BG ; and things that are equal to the same are equal to one an- other ; therefore the straight line AL is equal to BC . Wherefore , from the given point A , a straight line AL has been drawn ...
... wherefore AL and BC are each of them equal to BG ; and things that are equal to the same are equal to one an- other ; therefore the straight line AL is equal to BC . Wherefore , from the given point A , a straight line AL has been drawn ...
Página 126
... wherefore also FB , BG are in one straight line ( 7. 1. ) ; the sides of the parallelograms AB , BC , about the equal angles , are reciprocally propor- tional ; that is , DB is to BE , as GB to BF . Ꮐ C Complete the parallelogram FE ...
... wherefore also FB , BG are in one straight line ( 7. 1. ) ; the sides of the parallelograms AB , BC , about the equal angles , are reciprocally propor- tional ; that is , DB is to BE , as GB to BF . Ꮐ C Complete the parallelogram FE ...
Página 137
... wherefore also KGH is equal to D ; and it is similar to ABC . Therefore the rectilineal figure KGH has been de ... wherefore , as DA to AB , so is ( def . 1. 6. ) GA to AK ; but because ABCD and AEFG are similar paral- lelograms , as DA ...
... wherefore also KGH is equal to D ; and it is similar to ABC . Therefore the rectilineal figure KGH has been de ... wherefore , as DA to AB , so is ( def . 1. 6. ) GA to AK ; but because ABCD and AEFG are similar paral- lelograms , as DA ...
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Términos y frases comunes
ABC is equal ABCD adjacent angles altitude angle ABC angle ACB angle BAC angles equal arc AC base BC bisected centre chord circle ABC circumference cosine cylinder demonstrated diameter divided draw Prob equal and similar equal angles equiangular equilateral equilateral polygon equimultiples Euclid exterior angle fore four right angles given straight line greater Hence hypotenuse inscribed join less Let ABC Let the straight magnitudes meet multiple opposite angle parallel parallelogram parallelopiped perpendicular polygon prism PROP proposition quadrilateral radius ratio rectangle contained rectilineal figure remaining angle right angled triangle SCHOLIUM segment semicircle shewn side BC sine solid angle solid parallelopiped spherical angle spherical triangle square straight line BC THEOR third touches the circle triangle ABC wherefore