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" DEF are likewise equal (13. i.) to two right angles ; therefore the angles AKB, AMB are equal to the angles DEG, DEF, of which AKB is equal to DEG ; wherefore the remaining angle AMB is equal to the remaining angle DEF. "
The First Six Books: Together with the Eleventh and Twelfth - Σελίδα 105
των Euclid - 1781 - 520 σελίδες
Πλήρης προβολή - Σχετικά με αυτό το βιβλίο

Euclid's Elements of Geometry: Chiefly from the Text of Dr. Simson, with ...

Robert Potts - 1860 - 380 σελίδες
...angles AKB, AlfB are equal to the angles DEG, DEF; (ax. 1.) of which AKB is equal to DEG; (constr.) wherefore the remaining angle AMB is equal to the remaining angle DEF. (ax. 3.) In like manner, the angle LNM may be demonstrated to be equal to DFE; and therefore the remaining...

Euclid's Elements of geometry, books i. ii. iii. iv

Euclides - 1862 - 140 σελίδες
...right angles, (ax. 3.) 5. But the angles DEG, DEF, are together equal to two right angles; (I. 13.) 6. Therefore the angles AKB, AMB, are equal to the angles DEG, DEF (ax. 1), of which AKB is equal to DEG; (const.) 7. Therefore the remaining angle AMB is equal to the...

The school edition. Euclid's Elements of geometry, the first six books, by R ...

Euclides - 1864 - 448 σελίδες
...right angles : fax. 3.) but the angles DEG, DEF are likewise equal to two right. angles ; (I. 13.J therefore the angles AKB, AMB are equal to the angles DEG, DEF; (ax. 1.) of which AKB is equal to DEG ; (constr.) wherefore the remaining angle AMB is equal to the...

Euclid's Elements of geometry, the first four books, by R. Potts. Corrected ...

Euclides - 1864 - 262 σελίδες
...angles AKB, AMB are equal to the angles DUG, DEF; (ax. 1.) of which AKB is equal to DEG; (constr.) wherefore the remaining angle AMB is equal to the remaining angle DEF. (ax. 3.) In like manner, the angle LNM may be demonstrated to be equal to DFE; and therefore the remaining...

The College Euclid: Comprising the First Six and the Parts of the Eleventh ...

Euclides - 1865 - 402 σελίδες
...two right angles ; (ax. 3) but the angles DEG, DEF, are likewise equal to two right angles ) (i.13) therefore the angles AKB, AMB, are equal to the angles DEG, DEF, (ax. 1) of which AKB is equal to DEG ; (constr.) wherefore the remainmg angle AMB, is equal to the...

Euclid's Elements of Geometry: Chiefly from the Text of Dr. Simson ...

Robert Potts - 1865 - 528 σελίδες
...two right angles : (ax. 3.) but the angles DEG, DEF are likewise equal to two right angles ; (i. 13.) therefore the angles AKB, AMB are equal to the angles DEG, DEF; (ax. 1.) of which AKB is equal to DEG ; (constr.) wherefore the remaining angle AMB is equal to the...

The Elements of Euclid for the Use of Schools and Colleges: Comprising the ...

Euclid, Isaac Todhunter - 1867 - 426 σελίδες
...two right angles. [Axiom 3. But the angles DEG, DEF are together equal to two right angles. [I. 13. Therefore the angles AKB, AMB are equal to the angles DEG, DEF; of which the angle AKB is equal to the angle DEG ; [Constr. therefore the remaining angle AMB is equal to the...

The Elements of Euclid for the Use of Schools and Colleges: Comprising the ...

Euclid, Isaac Todhunter - 1867 - 424 σελίδες
...two right angles. [Axiom S. But the angles DEG, DEF are together equal to two right angles. [I. 13. Therefore the angles AKB, AMB are equal to the angles DEG, DEF; of which the angle A KB is equal to the angle DEG ; [Comtr. therefore the remaining angle AMB is equal to the...

Euclid's Elements of Geometry: Chiefly from the Text of Dr. Simson, with ...

Robert Potts - 1868 - 434 σελίδες
...AKB, AMB are equal to two right angles : fax. 3.) but the angles DEG, DEF are likewise equal to t-wo right, angles : therefore the angles AKB, AMB are equal to the angles DUG, DEF; (ax. 1.) of which A KB is equal to DEG ; (constr.) wherefore the remaining angle AMB is equal...

Elementary Geometry ...

James Maurice Wilson - 1878 - 450 σελίδες
...AKB, AMB are together equal to two right angles. But the angles DEG, DEF are together equal to two right angles. Therefore the angles AKB, AMB are equal to the angles DEG, DEF; of which the angle AKB is equal to the angle DEG; therefore the remaining angle AMB is equal to the remaining...




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