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, 1840 - 317 σελίδες |
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Σελίδα 5
... called a Theorem ; and the method of collecting the several arguments and proofs , and laying them together in proper order , by means of which the truth of the proposition becomes evident , is called a Demonstration . 6. A Direct ...
... called a Theorem ; and the method of collecting the several arguments and proofs , and laying them together in proper order , by means of which the truth of the proposition becomes evident , is called a Demonstration . 6. A Direct ...
Σελίδα 6
... called Reductio ad Absurdum ; because it shows the absurdity and falsehood of all suppositions contrary to that contained in the proposition . 8. A Problem is a proposition or a question proposed , which requires a so- lution . As , to ...
... called Reductio ad Absurdum ; because it shows the absurdity and falsehood of all suppositions contrary to that contained in the proposition . 8. A Problem is a proposition or a question proposed , which requires a so- lution . As , to ...
Σελίδα 7
... called A plus B. * 21. Subtraction is denoted by a single line ; as A - B , which is read A minus B ; A - B represents their difference , or the part of A remaining , when a part equal to B has been taken away from it . In like manner ...
... called A plus B. * 21. Subtraction is denoted by a single line ; as A - B , which is read A minus B ; A - B represents their difference , or the part of A remaining , when a part equal to B has been taken away from it . In like manner ...
Σελίδα 8
... called a straight line . " " COR . Hence two straight lines cannot inclose a space . Neither can two straight lines have a common segment ; that is , they cannot coincide " in part , without coinciding altogether . " 66 4. A superficies ...
... called a straight line . " " COR . Hence two straight lines cannot inclose a space . Neither can two straight lines have a common segment ; that is , they cannot coincide " in part , without coinciding altogether . " 66 4. A superficies ...
Σελίδα 9
... called the angle DBC , or CBD ; but , if there be only one an- gle at a point , it may be expressed by a letter ... called a right angle ; and the straight line which stands on the other , is called a perpendicu- lar to it . 8. An obtuse ...
... called the angle DBC , or CBD ; but , if there be only one an- gle at a point , it may be expressed by a letter ... called a right angle ; and the straight line which stands on the other , is called a perpendicu- lar to it . 8. An obtuse ...
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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 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 solid parallelopiped spherical angle spherical triangle square straight line BC THEOR touches the circle triangle ABC triangle DEF wherefore