Books Books IF a side of any triangle be produced, the exterior angle is equal to the two interior and opposite angles ; and the three interior angles of every triangle are equal to two right angles. The Elements of Euclid for the Use of Schools and Colleges: Comprising the ... - Page 35
by Euclid, Isaac Todhunter - 1867 - 400 pages ## Geometry Without Axioms; Or the First Book of Euclid's Elements. With ...

Thomas Perronet Thompson - Euclid's Elements - 1833 - 150 pages
...any triangle be prolonged, the exterior angle is equal to the sum of the two interior and opposite angles. Let ABC be a triangle, and let one of its sides, as BC, be produced to D. The exterior angle ACD shall be equal to the two interior and opposite angles... ## The Elements of Euclid; viz. the first six books, together with the eleventh ...

Euclides - 1834 - 518 pages
...from the vertex to the point of section, divides the outward angle of the triangle into tlvo equal angles. Let ABC be a triangle, and let one of its sides BA be produced to E ; and let the outward angle CAE be divided into two equal angles by the straight... ## The Elements of Euclid: Viz. the First Six Books, Together with the Eleventh ...

Euclid - 1835 - 540 pages
...parallel to the given ^-Y"**' straight line BC. Which was to be done. PROP. XXXII. THEOR. If a side of any triangle be produced, the exterior angle is...and the three interior angles of every triangle are equal to two right angles. Let ABC be a triangle, and let one of its sides BC be produced to D ; the... ## Elements of Geometry: Containing the First Six Books of Euclid, with a ...

John Playfair - Euclid's Elements - 1835 - 316 pages
...In that case, CAI and EDF would be together equal to two right angles. PROP. XXV. THEOR. If a side of any triangle be produced, the exterior angle is...equal to the two interior and opposite angles ; and (he three interior angles of every triangle are equal to two right angles. Let ABC be a triangle, and... ## Library of Useful Knowledge: Geometry plane, solid, and spherical [by Pierce ...

Mathematics - 1835 - 684 pages
...(o) The three angles of a triaugle are together equal to two right angles; and if one of the sides be produced, the exterior angle is equal to the two interior and opposite angles . 14 (/>) In a right angled triaugle — 1. One of the angles, viz. the right angle, is equal to the... ## An Exposition of the Mysteries; Or, Religious Dogmas and Customs of the ...

John Fellows - Druids and druidism - 1835 - 432 pages
...four. Of the geometrical theorems ascribed to Pythagoras, the following are the principal: that the interior angles of every triangle are together equal to two right angles; that the only polygons which fill up the whole space about a given point, are the equilateral triangle,... ## The Element of Geometry

John Playfair - Geometry - 1836 - 114 pages
...the given point A, parallel to the given point BC. Which was to be done. PROP. V. THEOR. If a side of any triangle be produced, the exterior angle is...and the three interior angles of every triangle are equal to two right angles. Let ABC be a triangle, and let any of its sides BC be produced to D ; the... ## Elements of Geometry: Containing the First Six Books of Euclid, with a ...

John Playfair - Euclid's Elements - 1836 - 488 pages
...be done. x'i PROP. XXXII. THEOR. If a side of any trin iglc be produced, the exterior angle is e^ual to the two interior and opposite angles ; and the three interior angles of every triangle are equal to two right angles. Let ABC be a triangle, and let one of its sides BC be produced to D ; the... ## The Teacher's Assistant in the "Course of Mathematics Adapted to the Method ...

Mathematics - 1836 - 472 pages
...Straight lines which are parallel to the same straight line are parallel to one another. XXXII. If a side of any triangle be produced, the exterior angle is equal to the two interior and op. posite angles ; and the three interior angles of every triangle are equal to two right angles.... 