 | Isaac Todhunter - 1880 - 426 σελίδες
...equal to BG. But things which are equal to the same thing are equal to one another. [Axiom 1. Therefore AL is equal to B'C. Wherefore from the given point...has been drawn equal to the given straight line BC. QEF PROPOSITION 3. PROBLEM. From, the greater of two given straight lines to cut off a part equal to... | |
 | Stephen Thomas Hawtrey - 1880 - 202 σελίδες
...to the same thing, they are equal to one another. Therefore AL is equal to BC (Ax. 1). Wherefore i from the given point A, a straight line AL has been drawn equal to the given straight line BC, which was to be done. Observe here the connection between the endings of the enunciation, construction,... | |
 | T S. Taylor - 1880 - 152 σελίδες
...equal to one another. BC (a) and AL (c) are each equal to C G. .-. AL is equal to B C. Result. — Wherefore from the given point A a straight line AL has been drawn equal to the given line B CQEF EXERCISES. — I. Let A be the A • given point and BC the given line, then draw a line... | |
 | 1880 - 594 σελίδες
...(Same as for Candidates.) Composition. — Write full notes of a lesson on Grasses. Euclid. — i. From the greater of two given straight lines to cut off a part equal to the less. What are the data and what are the quasita in this proposition ? 2. If two straight lines cut one another,... | |
 | Pupil teachers - 1880 - 1486 σελίδες
...CG, wherefore AL and CB are each of them equal to CG; and things which are equal to the same thing are equal to one another; therefore the straight line AL is equal to BC (ax. i). Wherefore from the given point A, a straight line AL has been drawn equal to the given straight... | |
 | 1882 - 676 σελίδες
...Define plain angle, finie, rhombus, axiom. When are two magnitudes said to be equal to one another? 2. From the greater of two given straight lines to cut off a part equal to the less. What are the data and what arc the i/iiicsi/a in this problem ? 3. If two straight lines cut one another,... | |
 | Euclid, Isaac Todhunter - 1883 - 428 σελίδες
...which are equal to the same thing are equal to one another. [Axiom 1. Therefore AL is equal to BO. Wherefore from the given point A a straight line AL...has been drawn equal to the given straight line BC. QEF PROPOSITION 3. PROBLEM. From the greater of two given straight lines to cut off a part equal to... | |
 | Stewart W. and co - 1884 - 272 σελίδες
...each of them equal to BG ; and things that are equal to the same are equal to one another ; therefore AL is equal to BC. Wherefore from the given point...has been drawn equal to the given straight line BC. III. — From the greater of two given straight lines to cut off a part equal to the less. Let AB and... | |
 | Euclides - 1884 - 182 σελίδες
...BC is equal to BG ; therefore AL and BC are each equal to BG ; therefore AL is equal to BC. (Ax. 1) Wherefore, from the given point A, a straight line...has been drawn equal to the given straight line BC. QEF EXERCISE V. 1. Construct the diagram [for Proposition II., similarly to the one which has been... | |
 | Euclides - 1884 - 214 σελίδες
...Magnitudes which are equal to the same magnitude are equal to one another. PROPOSITION III. PROBLEM. From the greater of two given straight lines to cut off a part equal to the less. GIVEN that AB and CG are two straight lines, of which AB is the greater ; IT is REQUIRED TO CUT OFF... | |
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BC. Wherefore from the given point A a straight line AL has been drawn equal to the given straight line BC. 
