## Elements of Geometry: Containing the First Six Books of Euclid: With a Supplement ... to which are Added, Elements of Plane and Sphericale Trigonometry ... From the Last London Ed., Enl |

### From inside the book

Results 1-5 of 72

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**base BC**be equal to the base EF ; and the tri- angle ABC to the triangle DEF ; and the other an- gles , to which the equal . sides are opposite , shall be equal , each to each , A Ä B E F viz . the angle ABC to the angle DEF , and the ... Page 14

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**base BC**shall coincide with the base EF cor . def . 3. ) , and shall be equal to it . Therefore also the whole triangle ABC shall coincide with the whole triangle DEF , so that the spaces which they contain or their areas are equal ... Page 15

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**base**of the triangle ABC : And it has also been proved that the angle FBC is equal to the angle GCB , which are the ...**BC**common to both , the two sides DB ,**BC**are equal to the two AC , CB , each to each ; but the angle DBC is also ... Page 16

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**base**CD are equal ( 5. 1. ) to one another , but the angle ECD is greater than the angle BCD ; wherefore the angle ...**BC**equal to the**base**EF . The angle BAC is equal to ' he angle EDF . For , if the triangle ABC be applied to the ... Page 17

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**base BC**coincides with the base EF , the sides BA , AC cannot but coincide with the sides ED , DF ; wherefore likewise the angle BAC coincides with the angle EDF , and is equal ( 8. Ax . ) to it . PROP . IX . PROB . To bisect a given ...### Other editions - View all

### Common terms and phrases

ABC is equal ABCD adjacent angles altitude angle ABC angle ACB angle BAC base BC bisected centre chord circle ABC circumference cosine cylinder demonstrated described diameter divided draw equal and similar equal angles equiangular equilateral equilateral polygon equimultiples Euclid exterior angle fore four right angles given rectilineal 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 PROB PROP proportional proposition quadrilateral radius ratio rectangle contained rectilineal figure remaining angle right angled triangle SCHOLIUM segment semicircle shewn side BC sine solid angle spherical angle spherical triangle square straight line BC THEOR third touches the circle triangle ABC triangle DEF wherefore