 | Euclides - 1865 - 402 σελίδες
...the same thing are equal to one another ; therefore tne straight line AI. is equal to BC. (ax. 1.) Wherefore from the given point A a straight line AL...has been drawn equal to the given straight line BC. Which was to be done. PROP. III.— PROBLEM. From the greater of two given straight lines to cut off... | |
 | Robert Potts - 1865 - 528 σελίδες
...to BG, wherefore AL and BC are each of them equal to BG; and things that are equal to the same thing are equal to one another ; therefore the straight line AL is equal to BC. (ax. 1.) Wherefore from the given point A, a straight line AL has been drawn equal to the given straight... | |
 | Euclid, Isaac Todhunter - 1867 - 424 σελίδες
...to BG. But things which are equal to the same thing are equal to one another. [Axiom 1 . Therefore AL is equal to BC. "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... | |
 | Euclid, Isaac Todhunter - 1867 - 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 BC. Wherefore from the given point A a straight line AI, has been drawn equal to the given straight line BC. QEP PROPOSITION 3. PROBLEM. From the greater... | |
 | Schools inquiry commission - 1868 - 742 σελίδες
...1. What is an acute angled triangle? 1" 2. Write out the following propositions of Euclid : — (1.) From the greater of two given straight lines to cut off a part equal to the less, BI, Prop. 3. (2.) To find the centre of a given circle, B. III., Prop. 1. 3. In BI, Prop. 9. To bisect... | |
 | Robert Potts - 1868 - 434 σελίδες
...to BG, wherefore AL and BCaie each of them equal to BG; and things that are equal to the same thing are equal to one another ; therefore the straight line AL is equal to BC. (ax. 1.) Wherefore from the given point A, a straight line AL has been drawn equal to the given straight... | |
 | Euclid, Charles Peter Mason - 1872 - 216 σελίδες
...To describe a circle with a given centre and at a given distance from that centre. (Post. III.) 4. From the greater of two given straight lines to cut off a part equal to the less. (Prop. III.) To prove that the construction effects what is required we must know, — 1. That radii... | |
 | Henry Major - 1873 - 588 σελίδες
...cash 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 - 1874 - 342 σελίδες
...to BG ; and things which are equal to the same thing are equal to one another (Ax. 1) ; therefore 4. The straight line AL is equal to BC. Wherefore, from...has been drawn equal to the given straight line BC. Which was to be done. PROPOSITION 3. — Problem. From the greater of two given straight lines to cut... | |
 | Euclides - 1874 - 120 σελίδες
...are equal to the same thing are equal to one another. [Ax. i.] Therefore AL is equal to BC. Therefore from the given point A a straight line AL has been drawn equal to the given straight line BC. QEF This problem admits of eight cases in the figure. 1. The given point may be joined with either... | |
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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. 
