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" When you have proved that the three angles of every triangle are equal to two right angles... "
Euclid's Elements of Geometry: The First Six, the Eleventh and Twelfth Books - Σελίδα 130
των Euclid - 1765 - 464 σελίδες
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A test-book for students; comprising sets of examination papers upon ...

Thomas Stantial - 1859 - 352 σελίδες
...and all the angles made by any number of lines meeting in a point are equal to four right angles. B. The three angles of every triangle are equal to two right angles. C. The angles at the base of an isosceles triangle are equal to one another. D. Construct a parallelogram...

The Artillerists̓ Manual, and British Soldiers̓ Compendium

Frederick Augustus Griffiths - 1859 - 426 σελίδες
...radii, its sides become the sines of the opposite angles, or the cosines of the adjacent augles. 5. The three angles of every triangle are equal to two right angles ; hence the obilque angles of a right-angled triangle are each other's complements. 6. The sum of the...

A Treatise on Mathematical Instruments: Including Most of the Instruments ...

John Fry Heather - 1859 - 198 σελίδες
...the two angles HI A and '•A HAI; and because the vertical angles AVH and IVE are equal, and that the three angles of every triangle are equal to two right angles, therefore the two angles VIE and s EH are, together, equal to the two angles AH v and HAI, and therefore...

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

Robert Potts - 1860 - 380 σελίδες
...any two of its opposite angles shall together be equal to two right angles. Join AC, BD. And because the three angles of every triangle are equal to two right angles, (I. 32.) the three angles of the triangle CAB, viz. the angles CAB, ABC, BCA, are equal to two right...

The school Euclid: comprising the first four books, by A.K. Isbister

Euclides - 1862 - 172 σελίδες
...together equal to two right angles. CONSTRUCTION Draw the diagonals AC and DB. DEMONSTRATION Because the three angles of every triangle are equal to two right angles, (i. 32) the three angles of the triangle CAB, viz. the angles CAB, ABC, BCA, are equal to two right...

Popular and Mathematical Astronomy, with the principal formulæ of Plane and ...

William Thomas Read - 1862 - 144 σελίδες
...proved may be obtained, which shows them to be true for any triangle. • We know (by Eu. 1, 32), that the three angles of every triangle are equal to two right angles ; therefore those of ABC are equal to two right angles ; and since B = 90°, therefore A + C = 90°,...

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

Euclides - 1864 - 448 σελίδες
...two of its opposite angles shall together be equal to two right angles. c Join AC, BD. And because the three angles of every triangle are equal to two right angles, (I. 32.) the three angles of the triangle CAB, viz. the angles CAB, ABC, BCA, are equal to two right...

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

Robert Potts - 1865 - 528 σελίδες
...any two of its opposite angles shall together bfe equal to two right angles. Join AC, BD. And because the three angles of every triangle are equal to two right angles, (i. 32.) the three angles of the triangle CAB, viz. the angles CAB, ABC, BCA, are equal to two right...

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

Euclides - 1865 - 402 σελίδες
...together equal to two right angles. CONSTRUCTION Draw the diagonals AC and I)B. DEMONSTRATION Because the three angles of every triangle are equal to two right angles, (I. 32) the three angles of the triangle CAB, viz. the angles CAB, ABC, BCA, are equal to two right...

Treatise on Mathematical Instruments: Their Construction, Adjustment ...

John Fry Heather - 1866 - 228 σελίδες
...the two angles HI A and '•* HA i ; and because the vertical angles AVH and IVE are equal, and that the three angles of every triangle are equal to two right angles, therefore the two angles VIE and s EH are, together, equal to the two angles AH v and HA i, and therefore...




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