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" Wherefore, from the given point A, a straight line AL has been drawn equal to the given straight line BC. "
Elements of Geometry;: Containing the First Six Books of Euclid, with Two ... - الصفحة 9
بواسطة Euclid, John Playfair - 1795 - عدد الصفحات: 400
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The Elements of Euclid: The Errors, by which Theon, Or Others, Have Long Ago ...

Robert Simson - 1838 - عدد الصفحات: 434
...remainder AL is equal to the remainder (3. Ax.) BG ; but it has been shown, that BC is equal to G, wherefore AL and BC are each of them equal to BG ; and things that are equal to the same aqfcequal to one another ; therefore the straight line AL is equal to EC. Wherefore from the given...

Euclid's Elements [book 1-6] with corrections, by J.R. Young

Euclides - 1838 - عدد الصفحات: 264
...therefore the remainder* AL is equal to the remainder BG: but it has been shewn, that BC is eijual to BG; wherefore AL and BC are each of them equal to BG: and things which are equal to the same thing are equalt to one another; therefore the straight line AL is equal...

The Elements of Euclid; viz. the first six books,together with the eleventh ...

Euclides - 1841 - عدد الصفحات: 378
...things that are equal to the same thing are equal * to one another; • 1 Ax. therefore the straight line AL is equal to BC. 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....

Elements of Geometry: Containing the First Six Books of Euclid, with a ...

John Playfair - 1842 - عدد الصفحات: 332
...therefore the remainder AL is equal to the remainder (3. Ax.) BG: But it has been shewn that BC is equal to BG ; wherefore AL and BC are each of them equal to BG ; and things that are equal to the same are equal to one another ; therefore the straight line AL is equal to BC. Wherefore, from the...

Elements of geometry: consisting of the first four,and the sixth, books of ...

Euclides - 1842 - عدد الصفحات: 316
...to the remainder (3 Ax.) BG: But it has been shown, that вc is equal to BG ; wherefore AL and вc are each of them equal to BG ; and things that are equal to the same are equal to one another ; therefore the straight line AL is equal to в c. Wherefore from the...

Elements of Geometry: Containing the First Six Books of Euclid, with a ...

John Playfair - 1844 - عدد الصفحات: 338
...circle GKL, AL is equal to BC. to the same are equal to one another ; therefore the straight lia£ AL is equal to BC. Wherefore, from the given point A, a straight line AL has been drawn equal to the given straight line BC. PROP. III. PROB. From the greater...

Euclid in Paragraphs: The Elements of Euclid: Containing the First Six Books ...

Euclid - 1845 - عدد الصفحات: 218
...therefore the remainder AL is equal to the remainder]: BG; But it has been shewn, that BC is equal to BG ; wherefore AL and BC are each of them equal to BG; and things that are equal to the same are equal || to one another; therefore the straight line AL is equal to BC. Wherefore from the...

Euclid's Elements of geometry [book 1-6, 11,12] with explanatory notes ...

Euclides - 1845 - عدد الصفحات: 546
...therefore the remainder AL is equal to the remainder BG; (ax. 3.) but it has been shewn that BC is equal to BG, wherefore AL and BC are each of them equal to BG; and things which are equal to the same thing are equal to one another ; therefore the straight line AL is equal...

Elements of Geometry: Containing the First Six Books of Euclid, with a ...

Euclid, John Playfair - 1846 - عدد الصفحات: 334
...therefore the remainder AL is equal to the remainder (3. Ax.) BG : But it has been shewn that BC is equal to BG ; wherefore AL and BC are each of them equal to BG ; and things that are equal to the same are equal to one another ; therefore the straight line AL is equal to BC. Wherefore, from the...

The Elements of Euclid, the parts read in the University of Cambridge [book ...

Euclides - 1846 - عدد الصفحات: 292
...remainder AL is equal to the remainder BG (Ax. 3) : But it has been shewn that BC is equal to BG; therefore AL and BC are each of them equal to BG : And things which are equal to the same are equal to one another ; therefore the straight line AL is equal to BC....




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