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 σελίδες |
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Σελίδα 152
... arch BL , and the angle BGL ; and of the arch EF , and of the angle EHF , any equimultiples whatever , viz . the arch EN , and the angle EHN : And it has been proved , that if the arch BL be greater than EN , the angle BGL is greater ...
... arch BL , and the angle BGL ; and of the arch EF , and of the angle EHF , any equimultiples whatever , viz . the arch EN , and the angle EHN : And it has been proved , that if the arch BL be greater than EN , the angle BGL is greater ...
Σελίδα 222
... arch AC to the arch AD , ( 33. 6. ) ; and therefore also , the angle ABC is to four times the angle ABD as the arch AC to four times the arch AD ( 4. 5. ) . But ABD is a right angle , and therefore four times the arch AD is equal to the ...
... arch AC to the arch AD , ( 33. 6. ) ; and therefore also , the angle ABC is to four times the angle ABD as the arch AC to four times the arch AD ( 4. 5. ) . But ABD is a right angle , and therefore four times the arch AD is equal to the ...
Σελίδα 223
... arch AC , perpendicular to the di- ameter passing through the other extremity A , is called the Sine of the arch AC , or of the angle ABC , of which AC is the measure . H K E L of a right angle , is equal to the ra- F dius . A B D COR ...
... arch AC , perpendicular to the di- ameter passing through the other extremity A , is called the Sine of the arch AC , or of the angle ABC , of which AC is the measure . H K E L of a right angle , is equal to the ra- F dius . A B D COR ...
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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