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 TrigonometryW.E. Dean, 1836 - 311 páginas |
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Página 5
... terminated both ways by the circumference . 14. A semicircle is the figure contained by a diameter and the part of the circumference cut off by the diameter . 15. Two lines are said to be parallel , when OF GEOMETRY . 5 BOOK I.
... terminated both ways by the circumference . 14. A semicircle is the figure contained by a diameter and the part of the circumference cut off by the diameter . 15. Two lines are said to be parallel , when OF GEOMETRY . 5 BOOK I.
Página 57
... semi - circle . PROP . II . THEOR . If any two points be taken in the circumference of a circle , the straight line which joins them shall fall within the circle . Let ABC be a circle , and A , B any two points in the circumference ...
... semi - circle . PROP . II . THEOR . If any two points be taken in the circumference of a circle , the straight line which joins them shall fall within the circle . Let ABC be a circle , and A , B any two points in the circumference ...
Página 71
... semicircle , let BAD , BED be angles in it ; these also are equal to one another . Draw AF to the centre , and produce it to C , B and join CE : Therefore the segment BADC is greater than a semicircle ; and the angles in it , BAC , BEC ...
... semicircle , let BAD , BED be angles in it ; these also are equal to one another . Draw AF to the centre , and produce it to C , B and join CE : Therefore the segment BADC is greater than a semicircle ; and the angles in it , BAC , BEC ...
Página 75
... semicircle is a right angle ; but the angle in a segment greater than a semicircle is less than a right angle ; and the angle in a segment less than a semicircle is greater than a right angle . Let ABCD be a circle , of which the ...
... semicircle is a right angle ; but the angle in a segment greater than a semicircle is less than a right angle ; and the angle in a segment less than a semicircle is greater than a right angle . Let ABCD be a circle , of which the ...
Página 76
... semicircle , is a right ( 29. 3. ) angle , and consequently the other two angles , BAD , ABD , are equal ( 25. 1. ) to a right angle ; but ABF is likewise a right angle ; therefore the angle ABF is equal to the angles BAD , ABD : take ...
... semicircle , is a right ( 29. 3. ) angle , and consequently the other two angles , BAD , ABD , are equal ( 25. 1. ) to a right angle ; but ABF is likewise a right angle ; therefore the angle ABF is equal to the angles BAD , ABD : take ...
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Elements of Geometry: Containing the First Six Books of Euclid, with a ... John Playfair Vista de fragmentos - 1836 |
Términos y frases comunes
ABC is equal ABCD adjacent angles altitude angle ABC angle ACB angle BAC angles equal 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 triangle DEF wherefore